Zobrazeno 1 - 10
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pro vyhledávání: '"55u35"'
Autor:
Guetta, Léonard, Moser, Lyne
Building on work by Fiore-Pronk-Paoli, we construct four model structures on the category of double categories, each modeling one of the following: simplicial spaces, Segal spaces, $(\infty,1)$-categories, and $\infty$-groupoids. Additionally, we pro
Externí odkaz:
http://arxiv.org/abs/2412.15715
We introduce a notion of stratification for big tensor-triangulated categories relative to the homological spectrum and develop the fundamental features of this theory. In particular, we demonstrate that it exhibits excellent descent properties. In c
Externí odkaz:
http://arxiv.org/abs/2412.13956
Autor:
Moser, Lyne, Nuiten, Joost
In this paper, we construct a model structure for $(\infty,1)$-categories on the category of simplicial spaces, whose fibrant objects are the Segal spaces. In particular, we show that it is Quillen equivalent to the models of $(\infty,1)$-categories
Externí odkaz:
http://arxiv.org/abs/2412.10359
Autor:
Bergner, Julia E.
Publikováno v:
in Equivariant Topology and Derived Algebra (S. Balchin et al, editors), London Mathematical Society Lecture Note Series 474 (2021)
The definition of the homotopy limit of a diagram of left Quillen functors of model categories has been useful in a number of applications. In this paper we review its definition and summarize some of these applications. We conclude with a discussion
Externí odkaz:
http://arxiv.org/abs/2411.18546
We study a weight-exact localization pi of a well generated triangulated category C along with the embedding of the hearts of adjacent t-structures coming from the functor right adjoint to pi. We prove that the functors relating the corresponding fou
Externí odkaz:
http://arxiv.org/abs/2410.20562
Diagrammatic sets admit a notion of internal equivalence in the sense of coinductive weak invertibility, with similar properties to its analogue in strict $\omega$-categories. We construct a model structure whose fibrant objects are diagrammatic sets
Externí odkaz:
http://arxiv.org/abs/2410.19053
Autor:
Shi, Yuqing
We present a universal property of the Bousfield--Kuhn functor $\operatorname{\Phi}_h$ of height $h$, for every positive natural number $h$. This result is achieved by proving that the costabilisation of the $\infty$-category of $v_h$-periodic homoto
Externí odkaz:
http://arxiv.org/abs/2410.01116
Autor:
Wei, Yuhang
The goal of this dissertation is to present results from synthetic homotopy theory based on homotopy type theory (HoTT). After an introduction to Martin-L\"of's dependent type theory and homotopy type theory, key results include a synthetic construct
Externí odkaz:
http://arxiv.org/abs/2409.15693
Autor:
Doherty, Brandon
We study properties of the cubical Joyal model structures on cubical sets by means of a combinatorial construction which allows for convenient comparisons between categories of cubical sets with and without symmetries. In particular, we prove that th
Externí odkaz:
http://arxiv.org/abs/2409.13842
Autor:
Bergner, Julia E., Stern, Walker H.
In this survey article, we review some conceptual approaches to the cyclic category $\Lambda$, as well as its description as a crossed simplicial group. We then give a new proof of the model structure on cyclic sets, work through the details of the g
Externí odkaz:
http://arxiv.org/abs/2409.11945