Zobrazeno 1 - 10
of 298
pro vyhledávání: '"55U40"'
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:
Torii, Takeshi
In this paper we give an example of duoidal $\infty$-categories. We introduce map $\mathcal{O}$-monoidales in an $\mathcal{O}$-monoidal $(\infty,2)$-category for an $\infty$-operad $\mathcal{O}^{\otimes}$. We show that the endomorphism mapping $\inft
Externí odkaz:
http://arxiv.org/abs/2406.00223
Autor:
Torii, Takeshi
Twisted arrow $\infty$-categories of $(\infty,1)$-categories were introduced by Lurie, and they have various applications in higher category theory. Abell\'{a}n Garc\'{i}a and Stern gave a generalization to twisted arrow $\infty$-categories of $(\inf
Externí odkaz:
http://arxiv.org/abs/2405.06912
An elementary notion of homotopy can be introduced between arrows in a cartesian closed category $E$. The input is a finite-product-preserving endofunctor $\Pi_0$ with a natural transformation $p$ from the identity which is surjective on global eleme
Externí odkaz:
http://arxiv.org/abs/2405.03793
Autor:
Shimakawa, Kazuhisa
We introduce a nonstandard extension of the category of diffeological spaces, and demonstrate its application to the study of generalized functions. Just as diffeological spaces are defined as concrete sheaves on the site of Euclidean open sets, our
Externí odkaz:
http://arxiv.org/abs/2402.17203
Autor:
Arakawa, Kensuke
We show that the classification diagram of a relative $\infty$-category arising from a relative simplicial category is equivalent to the levelwise nerve. Applications include the comparison of the diagonal of the levelwise nerve and the homotopy cohe
Externí odkaz:
http://arxiv.org/abs/2401.16855
Working in univalent foundations, we investigate the symmetries of spheres, i.e., the types of the form $\mathbb{S}^n = \mathbb{S}^n$. The case of the circle has a slick answer: the symmetries of the circle form two copies of the circle. For higher-d
Externí odkaz:
http://arxiv.org/abs/2401.15037
We show that in codimension at least 3, spaces of locally flat topological embeddings of manifolds are correctly modelled by derived spaces of maps between their configuration categories (under mild smoothability conditions). That general claim was r
Externí odkaz:
http://arxiv.org/abs/2401.00799
The configuration category of a manifold is a topological category which we view as a Segal space, via the nerve construction. Our main result is that the unordered configuration category, suitably truncated, admits a finite presentation as a complet
Externí odkaz:
http://arxiv.org/abs/2312.17632
We investigate the relationship between the configuration category of a manifold and the configuration category of a covering space of that manifold.
Comment: 18 pages
Comment: 18 pages
Externí odkaz:
http://arxiv.org/abs/2312.17631