Zobrazeno 1 - 10
of 548
pro vyhledávání: '"Homotopy hypothesis"'
Autor:
Waas, Lukas
This article is concerned with three different homotopy theories of stratified spaces: The one defined by Douteau and Henriques, the one defined by Haine, and the one defined by Nand-Lal. One of the central questions concerning these theories has bee
Externí odkaz:
http://arxiv.org/abs/2403.07686
Autor:
HENRY, SIMON1 shenry2@uottawa.ca, LANARI, EDOARDO2 edoardo.lanari.el@gmail.com
Publikováno v:
Theory & Applications of Categories. 2023, Vol. 39, p735-768. 34p.
Publikováno v:
In Topology and its Applications 1 July 2022 316
We prove that symmetric monoidal weak n-groupoids in the Tamsamani model provide a model for stable n-types. Moreover, we recover the classical statement that Picard categories model stable 1-types.
Externí odkaz:
http://arxiv.org/abs/2001.05577
Autor:
Henry, Simon, Lanari, Edoardo
We show that if the canonical left semi-model structure on the category of Grothendieck $n$-groupoids exists, then it satisfies the homotopy hypothesis, i.e. the associated $(\infty,1)$-category is equivalent to that of homotopy $n$-types, thus gener
Externí odkaz:
http://arxiv.org/abs/1905.05625
Publikováno v:
Journal of Pure and Applied Algebra, Volume 223, Issue 10, 2019, Pages 4348-4383
We prove that the homotopy theory of Picard 2-categories is equivalent to that of stable 2-types.
Comment: 34 pages
Comment: 34 pages
Externí odkaz:
http://arxiv.org/abs/1712.07218
Publikováno v:
In Journal of Pure and Applied Algebra October 2019 223(10):4348-4383
Autor:
Henry, Simon
We introduce and study a notion of cylinder coherator similar to the notion of Grothendieck coherator which define more flexible notion of weak infinity groupoids. We show that each such cylinder coherator produces a combinatorial semi-model category
Externí odkaz:
http://arxiv.org/abs/1609.04622
We show that conically smooth stratified spaces embed fully faithfully into $\infty$-categories. This articulates a stratified generalization of the homotopy hypothesis proposed by Grothendieck. As such, each $\infty$-category defines a stack on coni
Externí odkaz:
http://arxiv.org/abs/1502.01713
Autor:
Amrani, Ilias
We construct a "diagonal" cofibrantly generated model structre on the category of simplicial objects in the category of topological categories sCat_{Top}, which is the category of diagrams [\Delta^{op}, Cat_{Top}]. Moreover, we prove that the diagona
Externí odkaz:
http://arxiv.org/abs/1112.1251