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Category:Category theory - Wikipedia

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href="https://ar.wikipedia.org/wiki/%D8%AA%D8%B5%D9%86%D9%8A%D9%81:%D9%86%D8%B8%D8%B1%D9%8A%D8%A9_%D8%A7%D9%84%D9%81%D8%A6%D8%A9" title="تصنيف:نظرية الفئة – Arabic" lang="ar" hreflang="ar" data-title="تصنيف:نظرية الفئة" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F%D0%BB%D0%B0%D1%80_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F%D2%BB%D1%8B" title="Категория:Категориялар теорияһы – Bashkir" lang="ba" hreflang="ba" data-title="Категория:Категориялар теорияһы" data-language-autonym="Башҡортса" data-language-local-name="Bashkir" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Kategorija:Teorija_kategorija" title="Kategorija:Teorija kategorija – Bosnian" lang="bs" hreflang="bs" data-title="Kategorija:Teorija kategorija" data-language-autonym="Bosanski" data-language-local-name="Bosnian" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Categoria:Teoria_de_categories" title="Categoria:Teoria de categories – Catalan" lang="ca" hreflang="ca" data-title="Categoria:Teoria de categories" data-language-autonym="Català" data-language-local-name="Catalan" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8:%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%81%D0%B5%D0%BD_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D0%B9%C4%95" title="Категори:Категорисен теорийĕ – Chuvash" lang="cv" hreflang="cv" data-title="Категори:Категорисен теорийĕ" data-language-autonym="Чӑвашла" data-language-local-name="Chuvash" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Kategorie:Teorie_kategori%C3%AD" title="Kategorie:Teorie kategorií – Czech" lang="cs" hreflang="cs" data-title="Kategorie:Teorie kategorií" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cbk-zam mw-list-item"><a href="https://cbk-zam.wikipedia.org/wiki/Categor%C3%ADa:Teoria_de_maga_categoria" title="Categoría:Teoria de maga categoria – Chavacano" lang="cbk" hreflang="cbk" data-title="Categoría:Teoria de maga categoria" data-language-autonym="Chavacano de Zamboanga" data-language-local-name="Chavacano" class="interlanguage-link-target"><span>Chavacano de Zamboanga</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/Kategori:Kategoriteori" title="Kategori:Kategoriteori – Danish" lang="da" hreflang="da" data-title="Kategori:Kategoriteori" data-language-autonym="Dansk" data-language-local-name="Danish" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Kategorie:Kategorientheorie" title="Kategorie:Kategorientheorie – German" lang="de" hreflang="de" data-title="Kategorie:Kategorientheorie" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%9A%CE%B1%CF%84%CE%B7%CE%B3%CE%BF%CF%81%CE%AF%CE%B1:%CE%98%CE%B5%CF%89%CF%81%CE%AF%CE%B1_%CE%BA%CE%B1%CF%84%CE%B7%CE%B3%CE%BF%CF%81%CE%B9%CF%8E%CE%BD" title="Κατηγορία:Θεωρία κατηγοριών – Greek" lang="el" hreflang="el" data-title="Κατηγορία:Θεωρία κατηγοριών" data-language-autonym="Ελληνικά" data-language-local-name="Greek" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Categor%C3%ADa:Teor%C3%ADa_de_categor%C3%ADas" title="Categoría:Teoría de categorías – Spanish" lang="es" hreflang="es" data-title="Categoría:Teoría de categorías" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Kategorio:Teorio_de_kategorioj" title="Kategorio:Teorio de kategorioj – Esperanto" lang="eo" hreflang="eo" data-title="Kategorio:Teorio de kategorioj" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Kategoria:Kategoria-teoria" title="Kategoria:Kategoria-teoria – Basque" lang="eu" hreflang="eu" data-title="Kategoria:Kategoria-teoria" data-language-autonym="Euskara" data-language-local-name="Basque" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%B1%D8%AF%D9%87:%D9%86%D8%B8%D8%B1%DB%8C%D9%87_%D8%B1%D8%B3%D8%AA%D9%87%E2%80%8C%D9%87%D8%A7" title="رده:نظریه رسته‌ها – Persian" lang="fa" hreflang="fa" data-title="رده:نظریه رسته‌ها" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Cat%C3%A9gorie:Th%C3%A9orie_des_cat%C3%A9gories" title="Catégorie:Théorie des catégories – French" lang="fr" hreflang="fr" data-title="Catégorie:Théorie des catégories" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Categor%C3%ADa:Teor%C3%ADa_das_categor%C3%ADas" title="Categoría:Teoría das categorías – Galician" lang="gl" hreflang="gl" data-title="Categoría:Teoría das categorías" data-language-autonym="Galego" data-language-local-name="Galician" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%B6%84%EB%A5%98:%EB%B2%94%EC%A3%BC%EB%A1%A0" title="분류:범주론 – Korean" lang="ko" hreflang="ko" data-title="분류:범주론" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%BF%D5%A1%D5%BF%D5%A5%D5%A3%D5%B8%D6%80%D5%AB%D5%A1:%D4%BF%D5%A1%D5%BF%D5%A5%D5%A3%D5%B8%D6%80%D5%AB%D5%A1%D5%B6%D5%A5%D6%80%D5%AB_%D5%BF%D5%A5%D5%BD%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Կատեգորիա:Կատեգորիաների տեսություն – Armenian" lang="hy" hreflang="hy" data-title="Կատեգորիա:Կատեգորիաների տեսություն" data-language-autonym="Հայերեն" data-language-local-name="Armenian" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Kategorija:Teorija_kategorija" title="Kategorija:Teorija kategorija – Croatian" lang="hr" hreflang="hr" data-title="Kategorija:Teorija kategorija" data-language-autonym="Hrvatski" data-language-local-name="Croatian" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Categoria:Teoria_delle_categorie" title="Categoria:Teoria delle categorie – Italian" lang="it" hreflang="it" data-title="Categoria:Teoria delle categorie" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%98%D7%92%D7%95%D7%A8%D7%99%D7%94:%D7%AA%D7%95%D7%A8%D7%AA_%D7%94%D7%A7%D7%98%D7%92%D7%95%D7%A8%D7%99%D7%95%D7%AA" title="קטגוריה:תורת הקטגוריות – Hebrew" lang="he" hreflang="he" data-title="קטגוריה:תורת הקטגוריות" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%99%E1%83%90%E1%83%A2%E1%83%94%E1%83%92%E1%83%9D%E1%83%A0%E1%83%98%E1%83%90:%E1%83%99%E1%83%90%E1%83%A2%E1%83%94%E1%83%92%E1%83%9D%E1%83%A0%E1%83%98%E1%83%94%E1%83%91%E1%83%98%E1%83%A1_%E1%83%97%E1%83%94%E1%83%9D%E1%83%A0%E1%83%98%E1%83%90" title="კატეგორია:კატეგორიების თეორია – Georgian" lang="ka" hreflang="ka" data-title="კატეგორია:კატეგორიების თეორია" data-language-autonym="ქართული" data-language-local-name="Georgian" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Kateg%C3%B3ria:Kateg%C3%B3riaelm%C3%A9let" title="Kategória:Kategóriaelmélet – Hungarian" lang="hu" hreflang="hu" data-title="Kategória:Kategóriaelmélet" data-language-autonym="Magyar" data-language-local-name="Hungarian" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%BD%D0%B0_%D0%BA%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B8%D1%82%D0%B5" title="Категорија:Теорија на категориите – Macedonian" lang="mk" hreflang="mk" data-title="Категорија:Теорија на категориите" data-language-autonym="Македонски" data-language-local-name="Macedonian" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%90%D0%BD%D0%B3%D0%B8%D0%BB%D0%B0%D0%BB:%D0%90%D0%BD%D0%B3%D0%B8%D0%BB%D0%BB%D1%8B%D0%BD_%D0%BE%D0%BD%D0%BE%D0%BB" title="Ангилал:Ангиллын онол – Mongolian" lang="mn" hreflang="mn" data-title="Ангилал:Ангиллын онол" data-language-autonym="Монгол" data-language-local-name="Mongolian" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Categorie:Categorietheorie" title="Categorie:Categorietheorie – Dutch" lang="nl" hreflang="nl" data-title="Categorie:Categorietheorie" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/Category:%E5%9C%8F%E8%AB%96" title="Category:圏論 – Japanese" lang="ja" hreflang="ja" data-title="Category:圏論" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Kategori:Kategoriteori" title="Kategori:Kategoriteori – Norwegian Bokmål" lang="nb" hreflang="nb" data-title="Kategori:Kategoriteori" data-language-autonym="Norsk bokmål" data-language-local-name="Norwegian Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Kategori:Kategoriteori" title="Kategori:Kategoriteori – Norwegian Nynorsk" lang="nn" hreflang="nn" data-title="Kategori:Kategoriteori" data-language-autonym="Norsk nynorsk" data-language-local-name="Norwegian Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Kategoria:Teoria_kategorii" title="Kategoria:Teoria kategorii – Polish" lang="pl" hreflang="pl" data-title="Kategoria:Teoria kategorii" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Categoria:Teoria_das_categorias" title="Categoria:Teoria das categorias – Portuguese" lang="pt" hreflang="pt" data-title="Categoria:Teoria das categorias" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Categorie:Teoria_categoriilor" title="Categorie:Teoria categoriilor – Romanian" lang="ro" hreflang="ro" data-title="Categorie:Teoria categoriilor" data-language-autonym="Română" data-language-local-name="Romanian" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D0%BA%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D0%B9" title="Категория:Теория категорий – Russian" lang="ru" hreflang="ru" data-title="Категория:Теория категорий" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Kateg%C3%B3ria:Te%C3%B3ria_kateg%C3%B3ri%C3%AD" title="Kategória:Teória kategórií – Slovak" lang="sk" hreflang="sk" data-title="Kategória:Teória kategórií" data-language-autonym="Slovenčina" data-language-local-name="Slovak" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Kategorija:Teorija_kategorij" title="Kategorija:Teorija kategorij – Slovenian" lang="sl" hreflang="sl" data-title="Kategorija:Teorija kategorij" data-language-autonym="Slovenščina" data-language-local-name="Slovenian" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0:%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D0%BA%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D0%B8%D1%98%D0%B0" title="Категорија:Теорија категорија – Serbian" lang="sr" hreflang="sr" data-title="Категорија:Теорија категорија" data-language-autonym="Српски / srpski" data-language-local-name="Serbian" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Luokka:Kategoriateoria" title="Luokka:Kategoriateoria – Finnish" lang="fi" hreflang="fi" data-title="Luokka:Kategoriateoria" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Kategori:Kategoriteori" title="Kategori:Kategoriteori – Swedish" lang="sv" hreflang="sv" data-title="Kategori:Kategoriteori" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B8%AB%E0%B8%A1%E0%B8%A7%E0%B8%94%E0%B8%AB%E0%B8%A1%E0%B8%B9%E0%B9%88:%E0%B8%97%E0%B8%A4%E0%B8%A9%E0%B8%8E%E0%B8%B5%E0%B9%81%E0%B8%84%E0%B8%97%E0%B8%B4%E0%B8%81%E0%B8%AD%E0%B8%A3%E0%B8%B5" title="หมวดหมู่:ทฤษฎีแคทิกอรี – Thai" lang="th" hreflang="th" data-title="หมวดหมู่:ทฤษฎีแคทิกอรี" data-language-autonym="ไทย" data-language-local-name="Thai" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Kategori:Kategori_teorisi" title="Kategori:Kategori teorisi – Turkish" lang="tr" hreflang="tr" data-title="Kategori:Kategori teorisi" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9A%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D1%96%D1%8F:%D0%A2%D0%B5%D0%BE%D1%80%D1%96%D1%8F_%D0%BA%D0%B0%D1%82%D0%B5%D0%B3%D0%BE%D1%80%D1%96%D0%B9" title="Категорія:Теорія категорій – Ukrainian" lang="uk" hreflang="uk" data-title="Категорія:Теорія категорій" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B2%D9%85%D8%B1%DB%81:%D9%86%D8%B8%D8%B1%DB%8C%DB%81_%D8%B2%D9%85%D8%B1%DB%81" title="زمرہ:نظریہ زمرہ – Urdu" lang="ur" hreflang="ur" data-title="زمرہ:نظریہ زمرہ" data-language-autonym="اردو" data-language-local-name="Urdu" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a 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data-file-height="1376" /></span></span></div> <div class="side-box-text plainlist">Wikimedia Commons has media related to <span style="font-weight: bold; font-style: italic;"><a href="https://commons.wikimedia.org/wiki/Category:Category_theory" class="extiw" title="commons:Category:Category theory">Category theory</a></span>.</div></div> </div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">The main article for this <a href="/wiki/Help:Categories" title="Help:Categories">category</a> is <b><a href="/wiki/Category_theory" title="Category theory">Category theory</a></b>.</div> <p><b>Category theory</b> is a <a href="/wiki/Mathematics" title="Mathematics">mathematical</a> theory that deals in an abstract way with mathematical structures and relationships between them. </p> <div style="display:block; margin-top: 1em; padding-right: 2em"><style data-mw-deduplicate="TemplateStyles:r1111373058">.mw-parser-output .toc-top-false-title{font-weight:bold;text-align:center}.mw-parser-output .toc-top .hlist ul{text-align:inherit}@media all and (min-width:720px){.mw-parser-output .toc-top{clear:left}.mw-parser-output .toc-top-left{float:left}.mw-parser-output .toc-top-right{float:right;clear:right}.mw-parser-output .toc-top-center{margin:auto;clear:none}}body.skin-vector-2022 .mw-parser-output .toc-top{padding:7px}body.skin-vector-2022 .mw-parser-output .toc-top #toc-title-text{border-bottom:0;margin-top:0;font-weight:bold;text-align:center}</style><div class="toc plainlinks toc-top toc-top-left" role="navigation" aria-labelledby="toc-title-text-template" id="toc"> <div class="toctitle"><h2 id="Contents" id="toc-title-text">Contents </h2></div> <style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul dl,.mw-parser-output .hlist ul ol,.mw-parser-output .hlist ul ul{display:inline}.mw-parser-output .hlist .mw-empty-li{display:none}.mw-parser-output .hlist dt::after{content:": "}.mw-parser-output .hlist dd::after,.mw-parser-output .hlist li::after{content:" · ";font-weight:bold}.mw-parser-output .hlist dd:last-child::after,.mw-parser-output .hlist dt:last-child::after,.mw-parser-output .hlist li:last-child::after{content:none}.mw-parser-output .hlist dd dd:first-child::before,.mw-parser-output .hlist dd dt:first-child::before,.mw-parser-output .hlist dd li:first-child::before,.mw-parser-output .hlist dt dd:first-child::before,.mw-parser-output .hlist dt dt:first-child::before,.mw-parser-output .hlist dt li:first-child::before,.mw-parser-output .hlist li dd:first-child::before,.mw-parser-output .hlist li dt:first-child::before,.mw-parser-output .hlist li li:first-child::before{content:" (";font-weight:normal}.mw-parser-output .hlist dd dd:last-child::after,.mw-parser-output .hlist dd dt:last-child::after,.mw-parser-output .hlist dd li:last-child::after,.mw-parser-output .hlist dt dd:last-child::after,.mw-parser-output .hlist dt dt:last-child::after,.mw-parser-output .hlist dt li:last-child::after,.mw-parser-output .hlist li dd:last-child::after,.mw-parser-output .hlist li dt:last-child::after,.mw-parser-output .hlist li li:last-child::after{content:")";font-weight:normal}.mw-parser-output .hlist ol{counter-reset:listitem}.mw-parser-output .hlist ol>li{counter-increment:listitem}.mw-parser-output .hlist ol>li::before{content:" "counter(listitem)"\a0 "}.mw-parser-output .hlist dd ol>li:first-child::before,.mw-parser-output .hlist dt ol>li:first-child::before,.mw-parser-output .hlist li ol>li:first-child::before{content:" ("counter(listitem)"\a0 "}</style><div class="hlist"> <ul><li><a class="external text" href="https://en.wikipedia.org/wiki/Category:Category_theory">Top</a></li> <li><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=0">0–9</a></li> <li><a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=A">A</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=B">B</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=C">C</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=D">D</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=E">E</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=F">F</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=G">G</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=H">H</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=I">I</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=J">J</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=K">K</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=L">L</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=M">M</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=N">N</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=O">O</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=P">P</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=Q">Q</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=R">R</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=S">S</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=T">T</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=U">U</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=V">V</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=W">W</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=X">X</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=Y">Y</a> <a class="external text" href="https://en.wikipedia.org/w/index.php?title=Category:Category_theory&amp;from=Z">Z</a></li></ul> </div></div></div><div style="clear:both;" class=""></div> <!-- NewPP limit 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Rendering was triggered because: page-view --> </div><div class="mw-category-generated" lang="en" dir="ltr"><div id="mw-subcategories"> <h2>Subcategories</h2> <p>This category has the following 20 subcategories, out of 20 total. </p><div lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-category mw-category-columns"><div class="mw-category-group"><h3> </h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Morphisms" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Morphisms" title="Category:Morphisms">Morphisms</a></bdi> <span title="Contains 3 subcategories, 29 pages, and 0 files" dir="ltr">(3 C, 29 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>A</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Additive_categories" title="Category:Additive categories">Additive categories</a></bdi> <span title="Contains 0 subcategories, 14 pages, and 0 files" dir="ltr">(14 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>C</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Categorical_logic" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Categorical_logic" title="Category:Categorical logic">Categorical logic</a></bdi> <span title="Contains 1 subcategory, 7 pages, and 0 files" dir="ltr">(1 C, 7 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Categories_in_category_theory" title="Category:Categories in category theory">Categories in category theory</a></bdi> <span title="Contains 0 subcategories, 57 pages, and 0 files" dir="ltr">(57 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Category_theorists" title="Category:Category theorists">Category theorists</a></bdi> <span title="Contains 0 subcategories, 45 pages, and 0 files" dir="ltr">(45 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Closed_categories" title="Category:Closed categories">Closed categories</a></bdi> <span title="Contains 0 subcategories, 5 pages, and 0 files" dir="ltr">(5 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>D</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Dagger_categories" title="Category:Dagger categories">Dagger categories</a></bdi> <span title="Contains 0 subcategories, 6 pages, and 0 files" dir="ltr">(6 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Duality_theories" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Duality_theories" title="Category:Duality theories">Duality theories</a></bdi> <span title="Contains 4 subcategories, 69 pages, and 0 files" dir="ltr">(4 C, 69 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>F</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Free_algebraic_structures" title="Category:Free algebraic structures">Free algebraic structures</a></bdi> <span title="Contains 0 subcategories, 25 pages, and 0 files" dir="ltr">(25 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Functors" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Functors" title="Category:Functors">Functors</a></bdi> <span title="Contains 2 subcategories, 40 pages, and 0 files" dir="ltr">(2 C, 40 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>H</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Higher_category_theory" title="Category:Higher category theory">Higher category theory</a></bdi> <span title="Contains 0 subcategories, 32 pages, and 0 files" dir="ltr">(32 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Homological_algebra" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Homological_algebra" title="Category:Homological algebra">Homological algebra</a></bdi> <span title="Contains 7 subcategories, 126 pages, and 0 files" dir="ltr">(7 C, 126 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>I</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Information_geometry" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Information_geometry" title="Category:Information geometry">Information geometry</a></bdi> <span title="Contains 1 subcategory, 5 pages, and 0 files" dir="ltr">(1 C, 5 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>L</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Lemmas_in_category_theory" title="Category:Lemmas in category theory">Lemmas in category theory</a></bdi> <span title="Contains 0 subcategories, 8 pages, and 0 files" dir="ltr">(8 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li> <li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Limits_(category_theory)" title="Category:Limits (category theory)">Limits (category theory)</a></bdi> <span title="Contains 0 subcategories, 15 pages, and 0 files" dir="ltr">(15 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>M</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Monoidal_categories" title="Category:Monoidal categories">Monoidal categories</a></bdi> <span title="Contains 0 subcategories, 40 pages, and 0 files" dir="ltr">(40 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>O</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Objects_(category_theory)" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Objects_(category_theory)" title="Category:Objects (category theory)">Objects (category theory)</a></bdi> <span title="Contains 1 subcategory, 13 pages, and 0 files" dir="ltr">(1 C, 13 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>S</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Sheaf_theory" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Sheaf_theory" title="Category:Sheaf theory">Sheaf theory</a></bdi> <span title="Contains 2 subcategories, 57 pages, and 0 files" dir="ltr">(2 C, 57 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>T</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeBullet"><a class="CategoryTreeToggle" data-ct-title="Topos_theory" aria-expanded="false"></a> </span> <bdi dir="ltr"><a href="/wiki/Category:Topos_theory" title="Category:Topos theory">Topos theory</a></bdi> <span title="Contains 1 subcategory, 17 pages, and 0 files" dir="ltr">(1 C, 17 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div><div class="mw-category-group"><h3>Σ</h3> <ul><li><div class="CategoryTreeSection"><div class="CategoryTreeItem"><span class="CategoryTreeEmptyBullet"></span> <bdi dir="ltr"><a href="/wiki/Category:Category_theory_stubs" title="Category:Category theory stubs">Category theory stubs</a></bdi> <span title="Contains 0 subcategories, 90 pages, and 0 files" dir="ltr">(90 P)</span></div><div class="CategoryTreeChildren" style="display:none"></div></div></li></ul></div></div></div> </div><div id="mw-pages"> <h2><span class="anchor" id="Pages_in_category"></span>Pages in category "Category theory"</h2> <p>The following 191 pages are in this category, out of 191 total. <a href="/wiki/Wikipedia:FAQ/Categorization#Why_might_a_category_list_not_be_up_to_date?" title="Wikipedia:FAQ/Categorization">This list may not reflect recent changes</a>. </p><div lang="en" dir="ltr" class="mw-content-ltr"><div class="mw-category mw-category-columns"><div class="mw-category-group"><h3> </h3> <ul><li><a href="/wiki/Category_theory" title="Category theory">Category theory</a></li></ul></div><div class="mw-category-group"><h3>*</h3> <ul><li><a href="/wiki/Category_(mathematics)" title="Category (mathematics)">Category (mathematics)</a></li> <li><a href="/wiki/Glossary_of_category_theory" title="Glossary of category theory">Glossary of category theory</a></li> <li><a href="/wiki/Outline_of_category_theory" title="Outline of category theory">Outline of category theory</a></li></ul></div><div class="mw-category-group"><h3>A</h3> <ul><li><a href="/wiki/AB5_category" title="AB5 category">AB5 category</a></li> <li><a href="/wiki/Abstract_elementary_class" title="Abstract elementary class">Abstract elementary class</a></li> <li><a href="/wiki/Tame_abstract_elementary_class" title="Tame abstract elementary class">Tame abstract elementary class</a></li> <li><a href="/wiki/Abstract_nonsense" title="Abstract nonsense">Abstract nonsense</a></li> <li><a href="/wiki/Accessible_category" title="Accessible category">Accessible category</a></li> <li><a href="/wiki/Adhesive_category" title="Adhesive category">Adhesive category</a></li> <li><a href="/wiki/Allegory_(mathematics)" title="Allegory (mathematics)">Allegory (mathematics)</a></li> <li><a href="/wiki/Anamorphism" title="Anamorphism">Anamorphism</a></li> <li><a href="/wiki/Applied_category_theory" title="Applied category theory">Applied category theory</a></li></ul></div><div class="mw-category-group"><h3>B</h3> <ul><li><a href="/wiki/Balanced_category" title="Balanced category">Balanced category</a></li> <li><a href="/wiki/Beck%27s_monadicity_theorem" title="Beck&#039;s monadicity theorem">Beck&#039;s monadicity theorem</a></li> <li><a href="/wiki/Bousfield_localization" title="Bousfield localization">Bousfield localization</a></li> <li><a href="/wiki/Brown%27s_representability_theorem" title="Brown&#039;s representability theorem">Brown&#039;s representability theorem</a></li> <li><a href="/wiki/Bundle_(mathematics)" title="Bundle (mathematics)">Bundle (mathematics)</a></li> <li><a href="/wiki/Burnside_category" title="Burnside category">Burnside category</a></li></ul></div><div class="mw-category-group"><h3>C</h3> <ul><li><a href="/wiki/Cartesian_monoidal_category" title="Cartesian monoidal category">Cartesian monoidal category</a></li> <li><a href="/wiki/Catamorphism" title="Catamorphism">Catamorphism</a></li> <li><a href="/wiki/Categorical_probability" title="Categorical probability">Categorical probability</a></li> <li><a href="/wiki/Categorical_quantum_mechanics" title="Categorical quantum mechanics">Categorical quantum mechanics</a></li> <li><a href="/wiki/Categorical_set_theory" title="Categorical set theory">Categorical set theory</a></li> <li><a href="/wiki/Categorical_trace" title="Categorical trace">Categorical trace</a></li> <li><a href="/wiki/Categories_for_the_Working_Mathematician" title="Categories for the Working Mathematician">Categories for the Working Mathematician</a></li> <li><a href="/wiki/Categorification" title="Categorification">Categorification</a></li> <li><a href="/wiki/Category_algebra" title="Category algebra">Category algebra</a></li> <li><a href="/wiki/Category_of_representations" title="Category of representations">Category of representations</a></li> <li><a href="/wiki/Center_(category_theory)" title="Center (category theory)">Center (category theory)</a></li> <li><a href="/wiki/Chu_space" title="Chu space">Chu space</a></li> <li><a href="/wiki/Codensity_monad" title="Codensity monad">Codensity monad</a></li> <li><a href="/wiki/Coherence_condition" title="Coherence condition">Coherence condition</a></li> <li><a href="/wiki/Coimage" title="Coimage">Coimage</a></li> <li><a href="/wiki/Coinduction" title="Coinduction">Coinduction</a></li> <li><a href="/wiki/Cokernel" title="Cokernel">Cokernel</a></li> <li><a href="/wiki/Commutative_diagram" title="Commutative diagram">Commutative diagram</a></li> <li><a href="/wiki/Compact_object_(mathematics)" title="Compact object (mathematics)">Compact object (mathematics)</a></li> <li><a href="/wiki/Completions_in_category_theory" title="Completions in category theory">Completions in category theory</a></li> <li><a href="/wiki/Compositional_game_theory" title="Compositional game theory">Compositional game theory</a></li> <li><a href="/wiki/Concrete_category" title="Concrete category">Concrete category</a></li> <li><a href="/wiki/Cone_(category_theory)" title="Cone (category theory)">Cone (category theory)</a></li> <li><a href="/wiki/Conservative_functor" title="Conservative functor">Conservative functor</a></li> <li><a href="/wiki/Corecursion" title="Corecursion">Corecursion</a></li> <li><a href="/wiki/Corestriction" title="Corestriction">Corestriction</a></li> <li><a href="/wiki/Cosheaf" title="Cosheaf">Cosheaf</a></li> <li><a href="/wiki/Cosmos_(category_theory)" title="Cosmos (category theory)">Cosmos (category theory)</a></li> <li><a href="/wiki/Cotangent_complex" title="Cotangent complex">Cotangent complex</a></li> <li><a href="/wiki/Cotriple_homology" title="Cotriple homology">Cotriple homology</a></li></ul></div><div class="mw-category-group"><h3>D</h3> <ul><li><a href="/wiki/Day_convolution" title="Day convolution">Day convolution</a></li> <li><a href="/wiki/Descent_(mathematics)" title="Descent (mathematics)">Descent (mathematics)</a></li> <li><a href="/wiki/Diagonal_functor" title="Diagonal functor">Diagonal functor</a></li> <li><a href="/wiki/Dialectica_space" title="Dialectica space">Dialectica space</a></li> <li><a href="/wiki/DisCoCat" title="DisCoCat">DisCoCat</a></li> <li><a href="/wiki/Distributive_category" title="Distributive category">Distributive category</a></li> <li><a href="/wiki/Double_groupoid" title="Double groupoid">Double groupoid</a></li> <li><a href="/wiki/Dual_(category_theory)" title="Dual (category theory)">Dual (category theory)</a></li> <li><a href="/wiki/Duality_theory_for_distributive_lattices" title="Duality theory for distributive lattices">Duality theory for distributive lattices</a></li></ul></div><div class="mw-category-group"><h3>E</h3> <ul><li><a href="/wiki/Eckmann%E2%80%93Hilton_argument" title="Eckmann–Hilton argument">Eckmann–Hilton argument</a></li> <li><a href="/wiki/Element_(category_theory)" title="Element (category theory)">Element (category theory)</a></li> <li><a href="/wiki/Embedding" title="Embedding">Embedding</a></li> <li><a href="/wiki/Endomorphism_ring" title="Endomorphism ring">Endomorphism ring</a></li> <li><a href="/wiki/Enriched_category" title="Enriched category">Enriched category</a></li> <li><a href="/wiki/Envelope_(category_theory)" title="Envelope (category theory)">Envelope (category theory)</a></li> <li><a href="/wiki/Equivalence_of_categories" title="Equivalence of categories">Equivalence of categories</a></li> <li><a href="/wiki/Esquisse_d%27un_Programme" title="Esquisse d&#039;un Programme">Esquisse d&#039;un Programme</a></li> <li><a href="/wiki/Essential_monomorphism" title="Essential monomorphism">Essential monomorphism</a></li> <li><a href="/wiki/Exact_completion" title="Exact completion">Exact completion</a></li> <li><a href="/wiki/Extensive_category" title="Extensive category">Extensive category</a></li></ul></div><div class="mw-category-group"><h3>F</h3> <ul><li><a href="/wiki/F-algebra" title="F-algebra">F-algebra</a></li> <li><a href="/wiki/F-coalgebra" title="F-coalgebra">F-coalgebra</a></li> <li><a href="/wiki/Factorization_system" title="Factorization system">Factorization system</a></li> <li><a href="/wiki/Fiber_functor" title="Fiber functor">Fiber functor</a></li> <li><a href="/wiki/Fibred_category" title="Fibred category">Fibred category</a></li> <li><a href="/wiki/Filtered_category" title="Filtered category">Filtered category</a></li> <li><a href="/wiki/Finitely_generated_object" title="Finitely generated object">Finitely generated object</a></li> <li><a href="/wiki/Fra%C3%AFss%C3%A9_limit" title="Fraïssé limit">Fraïssé limit</a></li> <li><a href="/wiki/Freyd_cover" title="Freyd cover">Freyd cover</a></li> <li><a href="/wiki/List_of_types_of_functions" title="List of types of functions">List of types of functions</a></li> <li><a href="/wiki/Fusion_category" title="Fusion category">Fusion category</a></li></ul></div><div class="mw-category-group"><h3>G</h3> <ul><li><a href="/wiki/Gabriel%E2%80%93Popescu_theorem" title="Gabriel–Popescu theorem">Gabriel–Popescu theorem</a></li> <li><a href="/wiki/Gamma-object" title="Gamma-object">Gamma-object</a></li> <li><a href="/wiki/Generalized_metric_space" title="Generalized metric space">Generalized metric space</a></li> <li><a href="/wiki/Generator_(category_theory)" title="Generator (category theory)">Generator (category theory)</a></li> <li><a href="/wiki/Giraud_subcategory" title="Giraud subcategory">Giraud subcategory</a></li> <li><a href="/wiki/Giry_monad" title="Giry monad">Giry monad</a></li> <li><a href="/wiki/Globular_set" title="Globular set">Globular set</a></li> <li><a href="/wiki/Graded_category" title="Graded category">Graded category</a></li> <li><a href="/wiki/Grothendieck_category" title="Grothendieck category">Grothendieck category</a></li> <li><a href="/wiki/Grothendieck_construction" title="Grothendieck construction">Grothendieck construction</a></li> <li><a href="/wiki/Grothendieck_universe" title="Grothendieck universe">Grothendieck universe</a></li> <li><a href="/wiki/Grothendieck%27s_Galois_theory" title="Grothendieck&#039;s Galois theory">Grothendieck&#039;s Galois theory</a></li> <li><a href="/wiki/Grothendieck%27s_relative_point_of_view" title="Grothendieck&#039;s relative point of view">Grothendieck&#039;s relative point of view</a></li> <li><a href="/wiki/Groupoid" title="Groupoid">Groupoid</a></li> <li><a href="/wiki/Groupoid_object" title="Groupoid object">Groupoid object</a></li></ul></div><div class="mw-category-group"><h3>H</h3> <ul><li><a href="/wiki/H-object" title="H-object">H-object</a></li> <li><a href="/wiki/Higher-dimensional_algebra" title="Higher-dimensional algebra">Higher-dimensional algebra</a></li> <li><a href="/wiki/Homotopy_colimit_and_limit" title="Homotopy colimit and limit">Homotopy colimit and limit</a></li> <li><a href="/wiki/Hopfian_object" title="Hopfian object">Hopfian object</a></li> <li><a href="/wiki/Hylomorphism_(computer_science)" title="Hylomorphism (computer science)">Hylomorphism (computer science)</a></li></ul></div><div class="mw-category-group"><h3>I</h3> <ul><li><a href="/wiki/Image_(category_theory)" title="Image (category theory)">Image (category theory)</a></li> <li><a href="/wiki/Indexed_category" title="Indexed category">Indexed category</a></li> <li><a href="/wiki/Indiscrete_category" title="Indiscrete category">Indiscrete category</a></li> <li><a href="/wiki/Induced_homomorphism" title="Induced homomorphism">Induced homomorphism</a></li> <li><a href="/wiki/Initial_algebra" title="Initial algebra">Initial algebra</a></li> <li><a href="/wiki/Injective_cogenerator" title="Injective cogenerator">Injective cogenerator</a></li> <li><a href="/wiki/Injective_object" title="Injective object">Injective object</a></li> <li><a href="/wiki/Inserter_category" title="Inserter category">Inserter category</a></li> <li><a href="/wiki/Internal_category" title="Internal category">Internal category</a></li> <li><a href="/wiki/Isbell_duality" title="Isbell duality">Isbell duality</a></li> <li><span class="redirect-in-category"><a href="/wiki/Isomorphism_class" class="mw-redirect" title="Isomorphism class">Isomorphism class</a></span></li> <li><a href="/wiki/Isomorphism-closed_subcategory" title="Isomorphism-closed subcategory">Isomorphism-closed subcategory</a></li></ul></div><div class="mw-category-group"><h3>K</h3> <ul><li><a href="/wiki/K-theory_of_a_category" title="K-theory of a category">K-theory of a category</a></li> <li><a href="/wiki/Kan_extension" title="Kan extension">Kan extension</a></li> <li><a href="/wiki/Karoubi_envelope" title="Karoubi envelope">Karoubi envelope</a></li> <li><a href="/wiki/Kernel_(category_theory)" title="Kernel (category theory)">Kernel (category theory)</a></li> <li><a href="/wiki/Krohn%E2%80%93Rhodes_theory" title="Krohn–Rhodes theory">Krohn–Rhodes theory</a></li> <li><a href="/wiki/Krull%E2%80%93Schmidt_category" title="Krull–Schmidt category">Krull–Schmidt category</a></li></ul></div><div class="mw-category-group"><h3>L</h3> <ul><li><a href="/wiki/Lawvere%27s_fixed-point_theorem" title="Lawvere&#039;s fixed-point theorem">Lawvere&#039;s fixed-point theorem</a></li> <li><a href="/wiki/Lax_functor" title="Lax functor">Lax functor</a></li> <li><a href="/wiki/Lax_natural_transformation" title="Lax natural transformation">Lax natural transformation</a></li> <li><a href="/wiki/Lie_operad" title="Lie operad">Lie operad</a></li> <li><a href="/wiki/Lift_(mathematics)" title="Lift (mathematics)">Lift (mathematics)</a></li> <li><a href="/wiki/Lifting_property" title="Lifting property">Lifting property</a></li> <li><a href="/wiki/Limit_and_colimit_of_presheaves" title="Limit and colimit of presheaves">Limit and colimit of presheaves</a></li> <li><a href="/wiki/Localization_of_a_category" title="Localization of a category">Localization of a category</a></li> <li><a href="/wiki/Localizing_subcategory" title="Localizing subcategory">Localizing subcategory</a></li></ul></div><div class="mw-category-group"><h3>M</h3> <ul><li><a href="/wiki/Mac_Lane_coherence_theorem" title="Mac Lane coherence theorem">Mac Lane coherence theorem</a></li> <li><a href="/wiki/Mathematical_object" title="Mathematical object">Mathematical object</a></li> <li><a href="/wiki/Model_category" title="Model category">Model category</a></li> <li><a href="/wiki/Monad_(category_theory)" title="Monad (category theory)">Monad (category theory)</a></li> <li><a href="/wiki/Monoid" title="Monoid">Monoid</a></li> <li><a href="/wiki/Multicategory" title="Multicategory">Multicategory</a></li></ul></div><div class="mw-category-group"><h3>N</h3> <ul><li><a href="/wiki/Nerve_(category_theory)" title="Nerve (category theory)">Nerve (category theory)</a></li> <li><a href="/wiki/Nodal_decomposition" title="Nodal decomposition">Nodal decomposition</a></li></ul></div><div class="mw-category-group"><h3>O</h3> <ul><li><a href="/wiki/Olog" title="Olog">Olog</a></li> <li><a href="/wiki/Operad" title="Operad">Operad</a></li> <li><a href="/wiki/Opetope" title="Opetope">Opetope</a></li> <li><a href="/wiki/Opposite_category" title="Opposite category">Opposite category</a></li> <li><a href="/wiki/Overcategory" title="Overcategory">Overcategory</a></li></ul></div><div class="mw-category-group"><h3>P</h3> <ul><li><a href="/wiki/Permutation_category" title="Permutation category">Permutation category</a></li> <li><a href="/wiki/Point-surjective_morphism" title="Point-surjective morphism">Point-surjective morphism</a></li> <li><a href="/wiki/Pointed_set" title="Pointed set">Pointed set</a></li> <li><a href="/wiki/Pointless_topology" title="Pointless topology">Pointless topology</a></li> <li><a href="/wiki/Polyad" title="Polyad">Polyad</a></li> <li><a href="/wiki/Polygraph_(mathematics)" title="Polygraph (mathematics)">Polygraph (mathematics)</a></li> <li><a href="/wiki/Posetal_category" title="Posetal category">Posetal category</a></li> <li><a href="/wiki/Product_category" title="Product category">Product category</a></li> <li><a href="/wiki/Projective_cover" title="Projective cover">Projective cover</a></li> <li><a href="/wiki/Pseudo-abelian_category" title="Pseudo-abelian category">Pseudo-abelian category</a></li> <li><a href="/wiki/Pseudoalgebra" title="Pseudoalgebra">Pseudoalgebra</a></li> <li><a href="/wiki/Pulation_square" title="Pulation square">Pulation square</a></li></ul></div><div class="mw-category-group"><h3>Q</h3> <ul><li><a href="/wiki/Q-category" title="Q-category">Q-category</a></li> <li><a href="/wiki/Quantaloid" title="Quantaloid">Quantaloid</a></li> <li><a href="/wiki/Quiver_(mathematics)" title="Quiver (mathematics)">Quiver (mathematics)</a></li> <li><a href="/wiki/Quotient_category" title="Quotient category">Quotient category</a></li> <li><a href="/wiki/Quotient_of_an_abelian_category" title="Quotient of an abelian category">Quotient of an abelian category</a></li></ul></div><div class="mw-category-group"><h3>R</h3> <ul><li><a href="/wiki/R-algebroid" title="R-algebroid">R-algebroid</a></li> <li><a href="/wiki/Refinement_(category_theory)" title="Refinement (category theory)">Refinement (category theory)</a></li></ul></div><div class="mw-category-group"><h3>S</h3> <ul><li><a href="/wiki/Section_(category_theory)" title="Section (category theory)">Section (category theory)</a></li> <li><a href="/wiki/Segal_category" title="Segal category">Segal category</a></li> <li><a href="/wiki/Segal_space" title="Segal space">Segal space</a></li> <li><a href="/wiki/Seifert%E2%80%93Van_Kampen_theorem" title="Seifert–Van Kampen theorem">Seifert–Van Kampen theorem</a></li> <li><a href="/wiki/Semiautomaton" title="Semiautomaton">Semiautomaton</a></li> <li><a href="/wiki/Semigroupoid" title="Semigroupoid">Semigroupoid</a></li> <li><a href="/wiki/Setoid" title="Setoid">Setoid</a></li> <li><a href="/wiki/Sieve_(category_theory)" title="Sieve (category theory)">Sieve (category theory)</a></li> <li><a href="/wiki/Simplicial_localization" title="Simplicial localization">Simplicial localization</a></li> <li><a href="/wiki/Simplicially_enriched_category" title="Simplicially enriched category">Simplicially enriched category</a></li> <li><a href="/wiki/Size_functor" title="Size functor">Size functor</a></li> <li><a href="/wiki/Skeleton_(category_theory)" title="Skeleton (category theory)">Skeleton (category theory)</a></li> <li><a href="/wiki/Sketch_(mathematics)" title="Sketch (mathematics)">Sketch (mathematics)</a></li> <li><a href="/wiki/Spherical_category" title="Spherical category">Spherical category</a></li> <li><a href="/wiki/Stable_model_category" title="Stable model category">Stable model category</a></li> <li><a href="/wiki/Stable_module_category" title="Stable module category">Stable module category</a></li> <li><a href="/wiki/Stack_(mathematics)" title="Stack (mathematics)">Stack (mathematics)</a></li> <li><a href="/wiki/Strictification" title="Strictification">Strictification</a></li> <li><a href="/wiki/Structural_Ramsey_theory" title="Structural Ramsey theory">Structural Ramsey theory</a></li> <li><a href="/wiki/Subcategory" title="Subcategory">Subcategory</a></li> <li><a href="/wiki/Subquotient" title="Subquotient">Subquotient</a></li> <li><a href="/wiki/Subterminal_object" title="Subterminal object">Subterminal object</a></li> <li><a href="/wiki/Symplectic_category" title="Symplectic category">Symplectic category</a></li></ul></div><div class="mw-category-group"><h3>T</h3> <ul><li><a href="/wiki/T-structure" title="T-structure">T-structure</a></li> <li><a href="/wiki/Timeline_of_category_theory_and_related_mathematics" title="Timeline of category theory and related mathematics">Timeline of category theory and related mathematics</a></li> <li><a href="/wiki/Topological_category" title="Topological category">Topological category</a></li> <li><a href="/wiki/Topological_functor" title="Topological functor">Topological functor</a></li> <li><a href="/wiki/Tower_of_objects" title="Tower of objects">Tower of objects</a></li></ul></div><div class="mw-category-group"><h3>U</h3> <ul><li><a href="/wiki/Universal_property" title="Universal property">Universal property</a></li></ul></div><div class="mw-category-group"><h3>W</h3> <ul><li><a href="/wiki/Waldhausen_category" title="Waldhausen category">Waldhausen category</a></li> <li><span class="redirect-in-category"><a href="/wiki/Weak_factorization_system" class="mw-redirect" title="Weak factorization system">Weak factorization system</a></span></li> <li><a href="/wiki/Well-pointed_category" title="Well-pointed category">Well-pointed category</a></li></ul></div></div></div> </div></div><!--esi <esi:include src="/esitest-fa8a495983347898/content" /> --><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: 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