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See the <a href="/nlab/show/HowTo#diagrams">HowTo</a>.</li> <li style="font-size: 0.8em">As an alternative to the Markdown syntax for sections (headings), one can use the usual LaTeX syntax \section, \subsection, etc.</li> <li style="font-size: 0.8em">For further help, see the <a href="/nlab/show/HowTo">HowTo</a>, or you are very welcome to ask at the <a href="https://nforum.ncatlab.org/">nForum</a>.</li> </ol> </div> <form accept-charset="utf-8" action="/nlab/save/model+structure+on+presheaves+of+spectra" id="editForm" method="post"> <div style="display: none;"> <input name="see_if_human" id="see_if_human" style="tabindex: -1; autocomplete: off"/> </div> <div> <textarea name="content" id="content" style="height: 45em; width: 70%;"> +-- {: .rightHandSide} +-- {: .toc .clickDown tabindex="0"} ###Context### #### Model category theory +--{: .hide} [[!include model category theory - contents]] =-- #### Stable Homotopy theory +--{: .hide} [[!include stable homotopy theory - contents]] =-- =-- =-- #Contents# * table of contents {:toc} ## Idea A [[model category]] structure on [[presheaves of spectra]] [[presentable (infinity,1)-category|presents]] the [[stabilization]] of the corresponding [[(∞,1)-category]] presented by the corresponding [[model structure on simplicial presheaves]]. Over the trivial site it reproduces the [[model structure on spectra]] themselves. ## Related concepts * [[model structure on simplicial presheaves]] * [[model structure on parameterized spectra]] ## References * [[Frederick Jardine]], _Stable homotopy theory of simplicial presheaves_, Canad. J. Math. 39(1987), 733-747 ([DOI](http://dx.doi.org/10.4153/CJM-1987-035-8)) [[!redirects model structures on presheaves of spectra]] </textarea> <p> <input id="alter_title" name="alter_title" onchange="toggleVisibility();" type="checkbox" value="1" /> <label for="alter_title">Change page name.</label><br/> <span id="title_change" style="display:none"><label for="new_name">New name:</label> <input id="new_name" name="new_name" onblur="addRedirect();" type="text" value="model structure on presheaves of spectra" /></span> </p> <div> <p style="font-size: 0.8em; width: 70%;"> For non-trivial edits, please briefly describe your changes below. 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