Cisinski model structure: Difference between revisions

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{{Short description|Special kind of model structure}}

In [[higher category theory]] in [[mathematics]], a '''Cisinski model structure''' is a special kind of [[model structure]] on [[Topos|topoi]]. In homotopical algebra, the [[category of simplicial sets]] is of particular interest. Cisinski model structures are named after [[Denis-Charles Cisinski]], who introduced them in 2001. His work is based on unfinished ideas presented by Alexander Grothendieck in his script ''[[Pursuing Stacks|]]''Pursuing Stacks'']] from 1983.<ref name=":02">{{Cite web |last=Grothendieck |date= |title=Pursuing Stacks |url=https://thescrivener.github.io/PursuingStacks/ |url-status=live |archive-url=https://web.archive.org/web/20200730015735/https://thescrivener.github.io/PursuingStacks/ps-online.pdf |archive-date=30 Jul 2020 |access-date=2020-09-17 |website=thescrivener.github.io}}</ref>

== Definition ==