1 окт. 2021 г. · Generally, 𝒞 is called an accessible ( ∞ , 1 ) -category if it is κ -accessible for some regular cardinal κ .

29 мая 2024 г. · If an ( ∞ , 1 ) (\infty,1) -functor between accessible (∞,1)-categories has a left or right adjoint (∞,1)-functor, then it is itself accessible.

The theory of accessible categories is a part of mathematics, specifically of category theory. It attempts to describe categories in terms of the size

Pullbacks of Accessible ∞-categories. The main goal of this section is to prove that the ∞-category of accessible ∞- categories admits pullbacks and that ...

This paper is a meditation on the notion of an accessible ∞-category. The underlying motivation is to find ways to talk about accessible ∞-categories which ...

25 окт. 2023 г. · Let \kappa be a regular cardinal, \lambda<\kappa be a smaller infinite cardinal, and \mathsf K be a \kappa-accessible category where colimits of \lambda-

12 февр. 2020 г. · Let C be an accessible ∞-category, and let ho(C) be its homotopy category. I can think of two "trivial" reasons for ho(C) to be accessible:.

30 окт. 2021 г. · We introduce the notion of an accessible \infty-cosmos and prove that these include the basic examples of \infty-cosmoi and are stable under the main ...

2 июл. 2016 г. · The defining problem of homotopy theory is that often when one localizes a nice category at a reasonable class of morphisms, the result is a very bad category.

3 февр. 2022 г. · These are (infinity-)categories which are produced from two pieces of data: a small (infinity-)category and a "regular cardinal". The goal of ...