Zobrazeno 1 - 10
of 1 182
pro vyhledávání: '"55U35"'
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
Autor:
Yavuz, Emel
In this thesis, we construct a new version of orthogonal calculus for functors $F$ from $C_2$-representations to $C_2$-spaces, where $C_2$ is the cyclic group of order 2. For example, the functor $BO(-)$, which sends a $C_2$-representation $V$ to the
Externí odkaz:
http://arxiv.org/abs/2408.15891
Autor:
Ruit, Jaco
We study the framework of $\infty$-equipments which is designed to produce well-behaved theories for different generalizations of $\infty$-categories in a synthetic and uniform fashion. We consider notions of (lax) functors between these equipments,
Externí odkaz:
http://arxiv.org/abs/2408.15190
Autor:
Ruit, Jaco
In this paper, we study double $\infty$-categories of double functors. To this end, we exhibit the cartesian closed structure of the $\infty$-category of double $\infty$-categories and various localizations. We prove a theorem that characterizes the
Externí odkaz:
http://arxiv.org/abs/2408.14335
Autor:
Kapulkin, Chris, Mavinkurve, Udit
We give a new construction of the model structure on the category of simplicial sets for homotopy $n$-types, originally due to Elvira-Donazar and Hernandez-Paricio, using a right transfer along the coskeleton functor. We observe that an analogous mod
Externí odkaz:
http://arxiv.org/abs/2408.05289