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of 817
pro vyhledávání: '"18G30"'
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
Autor:
Alzubaidi, Husniyah, Maciocia, Antony
We modify the axioms of triangulated categories to include both higher triangles and distinguished maps of higher triangles. The distinguished maps are specializations of Neeman's ``good'' maps of $2$-triangles. The axioms both simplify Neeman's axio
Externí odkaz:
http://arxiv.org/abs/2312.06843
Autor:
Krause, Henning
The notion of support provides an analogue of Stone duality, relating lattices to topological spaces. This note aims to explain in lattice theoretic terms what has been developed in the context of triangulated categories. In particular, the parallel
Externí odkaz:
http://arxiv.org/abs/2307.12391
Autor:
Husainov, Ahmet A.
The article investigates the question of under what conditions a functor between small categories preserves cohomology groups when passing to the inverse image. For example, it is known that the left adjoint functor preserves the category cohomology
Externí odkaz:
http://arxiv.org/abs/2306.12683
Autor:
Heine, Till
The classical Dold-Kan correspondence is known to admit a categorification in the form of an equivalence between the $\infty$-categories of $2$-simplicial stable $\infty$-categories and connective chain complexes of stable $\infty$-categories. In thi
Externí odkaz:
http://arxiv.org/abs/2303.03653
Autor:
Cebrian, Alex, Forero, Wilson
We introduce the notion of directed hereditary species and show that they have associated monoidal decomposition spaces, comodule bialgebras, and operadic categories. The notion subsumes Schmitt's hereditary species, G\'alvez--Kock--Tonks directed re
Externí odkaz:
http://arxiv.org/abs/2211.07721
Autor:
Tounkara, Ibrahima
This paper develops links between the Burnside ring of a finite group $G$ and the slice Burnside ring}. The goal is to gain a better understanding of ghost maps, idempotents, prime spectrum of these Burnside rings and connections between them.
Externí odkaz:
http://arxiv.org/abs/2109.12620
Autor:
Lanari, Edoardo, Scoccola, Luis
Publikováno v:
Algebr. Geom. Topol. 23 (2023) 803-832
The homotopy interleaving distance, a distance between persistent spaces, was introduced by Blumberg and Lesnick and shown to be universal, in the sense that it is the largest homotopy-invariant distance for which sublevel-set filtrations of close-by
Externí odkaz:
http://arxiv.org/abs/2010.05378
Autor:
Paoli, Simona
Weakly globular double categories are a model of weak $2$-categories based on the notion of weak globularity, and they are known to be suitably equivalent to Tamsamani $2$-categories. Fair $2$-categories, introduced by J. Kock, model weak $2$-categor
Externí odkaz:
http://arxiv.org/abs/2008.11180
We show that the pretensor and tensor products of simplicial sets with marking are compatible with the homotopy theory of saturated $N$-complicial sets (which are a proposed model of $(\infty,N)$-categories), in the form of a Quillen bifunctor and a
Externí odkaz:
http://arxiv.org/abs/2007.01235