Category Theory

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Nov 2024 </a> </li><li> <a href="/list/math.CT/recent?skip=5&show=50"> Wed, 20 Nov 2024 </a> </li><li> <a href="/list/math.CT/recent?skip=7&show=50"> Tue, 19 Nov 2024 </a> </li><li> <a href="/list/math.CT/recent?skip=10&show=50"> Mon, 18 Nov 2024 </a> </li></ul> <p>See today's <a id="new-math.CT" aria-labelledby="new-math.CT" href="/list/math.CT/new">new</a> changes</p> <div class='paging'>Total of 14 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.CT/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> <dl id='articles'> <h3>Fri, 22 Nov 2024 (showing 2 of 2 entries )</h3> <dt> <a name='item1'>[1]</a> <a href ="/abs/2411.14143" title="Abstract" id="2411.14143"> arXiv:2411.14143 </a> [<a href="/pdf/2411.14143" title="Download PDF" id="pdf-2411.14143" aria-labelledby="pdf-2411.14143">pdf</a>, <a href="https://arxiv.org/html/2411.14143v1" title="View HTML" id="html-2411.14143" aria-labelledby="html-2411.14143" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.14143" title="Other formats" id="oth-2411.14143" aria-labelledby="oth-2411.14143">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Volume preservation of Butcher series methods from the operad viewpoint </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Dotsenko,+V">Vladimir Dotsenko</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Laubie,+P">Paul Laubie</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages, comments are welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span>; K-Theory and Homology (math.KT); Numerical Analysis (math.NA); Quantum Algebra (math.QA) </div> </div> </dd> <dt> <a name='item2'>[2]</a> <a href ="/abs/2411.13706" title="Abstract" id="2411.13706"> arXiv:2411.13706 </a> (cross-list from math.RA) [<a href="/pdf/2411.13706" title="Download PDF" id="pdf-2411.13706" aria-labelledby="pdf-2411.13706">pdf</a>, <a href="https://arxiv.org/html/2411.13706v1" title="View HTML" id="html-2411.13706" aria-labelledby="html-2411.13706" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.13706" title="Other formats" id="oth-2411.13706" aria-labelledby="oth-2411.13706">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Closed subcategories of quotient categories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Rogalski,+D">Daniel Rogalski</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 25 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Rings and Algebras (math.RA)</span>; Category Theory (math.CT); Quantum Algebra (math.QA) </div> </div> </dd> </dl> <dl id='articles'> <h3>Thu, 21 Nov 2024 (showing 3 of 3 entries )</h3> <dt> <a name='item3'>[3]</a> <a href ="/abs/2411.13367" title="Abstract" id="2411.13367"> arXiv:2411.13367 </a> [<a href="/pdf/2411.13367" title="Download PDF" id="pdf-2411.13367" aria-labelledby="pdf-2411.13367">pdf</a>, <a href="/format/2411.13367" title="Other formats" id="oth-2411.13367" aria-labelledby="oth-2411.13367">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> On \'Etale Algebras and Bosonic Fusion 2-Categories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Xu,+H">Hao Xu</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span> </div> </div> </dd> <dt> <a name='item4'>[4]</a> <a href ="/abs/2411.13482" title="Abstract" id="2411.13482"> arXiv:2411.13482 </a> (cross-list from math.GN) [<a href="/pdf/2411.13482" title="Download PDF" id="pdf-2411.13482" aria-labelledby="pdf-2411.13482">pdf</a>, <a href="https://arxiv.org/html/2411.13482v1" title="View HTML" id="html-2411.13482" aria-labelledby="html-2411.13482" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.13482" title="Other formats" id="oth-2411.13482" aria-labelledby="oth-2411.13482">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> A duality for the class of compact $T_1$-spaces </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Pozzan,+E">Elena Pozzan</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Viale,+M">Matteo Viale</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">General Topology (math.GN)</span>; Category Theory (math.CT); Logic (math.LO) </div> </div> </dd> <dt> <a name='item5'>[5]</a> <a href ="/abs/2411.12840" title="Abstract" id="2411.12840"> arXiv:2411.12840 </a> (cross-list from math.ST) [<a href="/pdf/2411.12840" title="Download PDF" id="pdf-2411.12840" aria-labelledby="pdf-2411.12840">pdf</a>, <a href="/format/2411.12840" title="Other formats" id="oth-2411.12840" aria-labelledby="oth-2411.12840">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> The Aldous--Hoover Theorem in Categorical Probability </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chen,+L">Leihao Chen</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Fritz,+T">Tobias Fritz</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gonda,+T">Tom谩拧 Gonda</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Klingler,+A">Andreas Klingler</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lorenzin,+A">Antonio Lorenzin</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 39 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Statistics Theory (math.ST)</span>; Logic in Computer Science (cs.LO); Category Theory (math.CT); Probability (math.PR) </div> </div> </dd> </dl> <dl id='articles'> <h3>Wed, 20 Nov 2024 (showing 2 of 2 entries )</h3> <dt> <a name='item6'>[6]</a> <a href ="/abs/2411.12333" title="Abstract" id="2411.12333"> arXiv:2411.12333 </a> [<a href="/pdf/2411.12333" title="Download PDF" id="pdf-2411.12333" aria-labelledby="pdf-2411.12333">pdf</a>, <a href="/format/2411.12333" title="Other formats" id="oth-2411.12333" aria-labelledby="oth-2411.12333">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Correspondences between codensity and coupling-based liftings, a practical approach </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Humeau,+S">Samuel Humeau</a> (ENS de Lyon, LIP, PLUME), <a href="https://arxiv.org/search/math?searchtype=author&query=Petrisan,+D">Daniela Petrisan</a> (IRIF (UMR\_8243)), <a href="https://arxiv.org/search/math?searchtype=author&query=Rot,+J">Jurriaan Rot</a> (ICIS)</div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span> </div> </div> </dd> <dt> <a name='item7'>[7]</a> <a href ="/abs/2411.12251" title="Abstract" id="2411.12251"> arXiv:2411.12251 </a> (cross-list from math.QA) [<a href="/pdf/2411.12251" title="Download PDF" id="pdf-2411.12251" aria-labelledby="pdf-2411.12251">pdf</a>, <a href="/format/2411.12251" title="Other formats" id="oth-2411.12251" aria-labelledby="oth-2411.12251">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Modular $\mathbb{Z}_2$-Crossed Tambara-Yamagami-like Categories for Even Groups </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Galindo,+C">C茅sar Galindo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Lentner,+S">Simon Lentner</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=M%C3%B6ller,+S">Sven M枚ller</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 47 pages, LaTeX; the construction in this paper was originally part of a longer paper <a href="https://arxiv.org/abs/2409.16357" data-arxiv-id="2409.16357" class="link-https">arXiv:2409.16357</a>, from which it is split off to improve readability </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Quantum Algebra (math.QA)</span>; Category Theory (math.CT); Representation Theory (math.RT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Tue, 19 Nov 2024 (showing 3 of 3 entries )</h3> <dt> <a name='item8'>[8]</a> <a href ="/abs/2411.10530" title="Abstract" id="2411.10530"> arXiv:2411.10530 </a> [<a href="/pdf/2411.10530" title="Download PDF" id="pdf-2411.10530" aria-labelledby="pdf-2411.10530">pdf</a>, <a href="/format/2411.10530" title="Other formats" id="oth-2411.10530" aria-labelledby="oth-2411.10530">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Symmetric Monoidal Bicategories and Biextensions </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Aldrovandi,+E">Ettore Aldrovandi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Gunjal,+M">Milind Gunjal</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 27 pages. Preliminary version, comments welcome! </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span>; Algebraic Topology (math.AT); K-Theory and Homology (math.KT) </div> </div> </dd> <dt> <a name='item9'>[9]</a> <a href ="/abs/2411.11816" title="Abstract" id="2411.11816"> arXiv:2411.11816 </a> (cross-list from math.AG) [<a href="/pdf/2411.11816" title="Download PDF" id="pdf-2411.11816" aria-labelledby="pdf-2411.11816">pdf</a>, <a href="https://arxiv.org/html/2411.11816v1" title="View HTML" id="html-2411.11816" aria-labelledby="html-2411.11816" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.11816" title="Other formats" id="oth-2411.11816" aria-labelledby="oth-2411.11816">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Noncommutative Gelfand Duality: the algebraic case </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Bambozzi,+F">Federico Bambozzi</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Capoferri,+M">Matteo Capoferri</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Murro,+S">Simone Murro</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Mathematical Physics (math-ph); Category Theory (math.CT); Quantum Algebra (math.QA) </div> </div> </dd> <dt> <a name='item10'>[10]</a> <a href ="/abs/2411.10567" title="Abstract" id="2411.10567"> arXiv:2411.10567 </a> (cross-list from math.AT) [<a href="/pdf/2411.10567" title="Download PDF" id="pdf-2411.10567" aria-labelledby="pdf-2411.10567">pdf</a>, <a href="https://arxiv.org/html/2411.10567v1" title="View HTML" id="html-2411.10567" aria-labelledby="html-2411.10567" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.10567" title="Other formats" id="oth-2411.10567" aria-labelledby="oth-2411.10567">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Teor\'ia de homotop\'ia usando conjuntos simpliciales </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Campillo,+M">Mathilda Campillo</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Osorno,+A">Ang茅lica Osorno</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Rivera,+M">Manuel Rivera</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> in Spanish language </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT) </div> </div> </dd> </dl> <dl id='articles'> <h3>Mon, 18 Nov 2024 (showing 4 of 4 entries )</h3> <dt> <a name='item11'>[11]</a> <a href ="/abs/2411.09950" title="Abstract" id="2411.09950"> arXiv:2411.09950 </a> [<a href="/pdf/2411.09950" title="Download PDF" id="pdf-2411.09950" aria-labelledby="pdf-2411.09950">pdf</a>, <a href="/format/2411.09950" title="Other formats" id="oth-2411.09950" aria-labelledby="oth-2411.09950">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Polynomials in homotopy type theory as a Kleisli category </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Harington,+E">Elies Harington</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=Mimram,+S">Samuel Mimram</a></div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Category Theory (math.CT)</span> </div> </div> </dd> <dt> <a name='item12'>[12]</a> <a href ="/abs/2411.10300" title="Abstract" id="2411.10300"> arXiv:2411.10300 </a> (cross-list from math.AG) [<a href="/pdf/2411.10300" title="Download PDF" id="pdf-2411.10300" aria-labelledby="pdf-2411.10300">pdf</a>, <a href="https://arxiv.org/html/2411.10300v1" title="View HTML" id="html-2411.10300" aria-labelledby="html-2411.10300" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.10300" title="Other formats" id="oth-2411.10300" aria-labelledby="oth-2411.10300">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Tensor product of A$_{\infty}$-categories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Ornaghi,+M">Mattia Ornaghi</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> Preliminary version, 31 pages. Comments are welcome </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Geometry (math.AG)</span>; Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item13'>[13]</a> <a href ="/abs/2411.10120" title="Abstract" id="2411.10120"> arXiv:2411.10120 </a> (cross-list from math.AT) [<a href="/pdf/2411.10120" title="Download PDF" id="pdf-2411.10120" aria-labelledby="pdf-2411.10120">pdf</a>, <a href="https://arxiv.org/html/2411.10120v1" title="View HTML" id="html-2411.10120" aria-labelledby="html-2411.10120" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.10120" title="Other formats" id="oth-2411.10120" aria-labelledby="oth-2411.10120">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Homotopical recognition of diagram categories </div> <div class='list-authors'><a href="https://arxiv.org/search/math?searchtype=author&query=Chorny,+B">Boris Chorny</a>, <a href="https://arxiv.org/search/math?searchtype=author&query=White,+D">David White</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 17 pages </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Algebraic Topology (math.AT)</span>; Category Theory (math.CT) </div> </div> </dd> <dt> <a name='item14'>[14]</a> <a href ="/abs/2411.09779" title="Abstract" id="2411.09779"> arXiv:2411.09779 </a> (cross-list from q-bio.PE) [<a href="/pdf/2411.09779" title="Download PDF" id="pdf-2411.09779" aria-labelledby="pdf-2411.09779">pdf</a>, <a href="https://arxiv.org/html/2411.09779v1" title="View HTML" id="html-2411.09779" aria-labelledby="html-2411.09779" rel="noopener noreferrer" target="_blank">html</a>, <a href="/format/2411.09779" title="Other formats" id="oth-2411.09779" aria-labelledby="oth-2411.09779">other</a>] </dt> <dd> <div class='meta'> <div class='list-title mathjax'><span class='descriptor'>Title:</span> Variational methods for Learning Multilevel Genetic Algorithms using the Kantorovich Monad </div> <div class='list-authors'><a href="https://arxiv.org/search/q-bio?searchtype=author&query=Warrell,+J">Jonathan Warrell</a>, <a href="https://arxiv.org/search/q-bio?searchtype=author&query=Alesiani,+F">Francesco Alesiani</a>, <a href="https://arxiv.org/search/q-bio?searchtype=author&query=Smith,+C">Cameron Smith</a>, <a href="https://arxiv.org/search/q-bio?searchtype=author&query=M%C3%B6sch,+A">Anja M枚sch</a>, <a href="https://arxiv.org/search/q-bio?searchtype=author&query=Min,+M+R">Martin Renqiang Min</a></div> <div class='list-comments mathjax'><span class='descriptor'>Comments:</span> 18 pages, 3 figures </div> <div class='list-subjects'><span class='descriptor'>Subjects:</span> <span class="primary-subject">Populations and Evolution (q-bio.PE)</span>; Neural and Evolutionary Computing (cs.NE); Category Theory (math.CT) </div> </div> </dd> </dl> <div class='paging'>Total of 14 entries </div> <div class='morefewer'>Showing up to 50 entries per page: <a href=/list/math.CT/recent?skip=0&show=25 rel="nofollow"> fewer</a> | <span style="color: #454545">more</span> | <span style="color: #454545">all</span> </div> </div> </div> </div> </main> <footer style="clear: both;"> <div class="columns is-desktop" role="navigation" aria-label="Secondary" style="margin: -0.75em -0.75em 0.75em -0.75em">  <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li><a href="https://info.arxiv.org/about">About</a></li> <li><a href="https://info.arxiv.org/help">Help</a></li> </ul> </div> <div class="column"> <ul style="list-style: none; line-height: 2;"> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>contact arXiv</title><desc>Click here to contact arXiv</desc><path d="M502.3 190.8c3.9-3.1 9.7-.2 9.7 4.7V400c0 26.5-21.5 48-48 48H48c-26.5 0-48-21.5-48-48V195.6c0-5 5.7-7.8 9.7-4.7 22.4 17.4 52.1 39.5 154.1 113.6 21.1 15.4 56.7 47.8 92.2 47.6 35.7.3 72-32.8 92.3-47.6 102-74.1 131.6-96.3 154-113.7zM256 320c23.2.4 56.6-29.2 73.4-41.4 132.7-96.3 142.8-104.7 173.4-128.7 5.8-4.5 9.2-11.5 9.2-18.9v-19c0-26.5-21.5-48-48-48H48C21.5 64 0 85.5 0 112v19c0 7.4 3.4 14.3 9.2 18.9 30.6 23.9 40.7 32.4 173.4 128.7 16.8 12.2 50.2 41.8 73.4 41.4z"/></svg> <a href="https://info.arxiv.org/help/contact.html"> Contact</a> </li> <li> <svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512" class="icon filter-black" role="presentation"><title>subscribe to arXiv mailings</title><desc>Click here to subscribe</desc><path d="M476 3.2L12.5 270.6c-18.1 10.4-15.8 35.6 2.2 43.2L121 358.4l287.3-253.2c5.5-4.9 13.3 2.6 8.6 8.3L176 407v80.5c0 23.6 28.5 32.9 42.5 15.8L282 426l124.6 52.2c14.2 6 30.4-2.9 33-18.2l72-432C515 7.8 493.3-6.8 476 3.2z"/></svg> <a href="https://info.arxiv.org/help/subscribe"> Subscribe</a> </li> </ul> </div> </div> </div>   <div class="column" style="padding: 0;"> <div class="columns"> <div class="column"> <ul style="list-style: none; 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