BOURKE, John Denis and Stephen LACK. On 2-categorical infinity-cosmoi. Journal of Pure and Applied Algebra. Elsevier B.V., 2024, vol. 228, No 9, p. 1-26. ISSN 0022-4049. Available from: https://dx.doi.org/10.1016/j.jpaa.2024.107661.
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Basic information
Original name On 2-categorical infinity-cosmoi
Authors BOURKE, John Denis (372 Ireland, belonging to the institution) and Stephen LACK.
Edition Journal of Pure and Applied Algebra, Elsevier B.V. 2024, 0022-4049.
Other information
Original language English
Type of outcome Article in a journal
Field of Study 10101 Pure mathematics
Country of publisher Netherlands
Confidentiality degree is not subject to a state or trade secret
WWW URL
Impact factor Impact factor: 0.800 in 2022
Organization unit Faculty of Science
Doi http://dx.doi.org/10.1016/j.jpaa.2024.107661
UT WoS 001222860900001
Keywords in English infinity-categories; accessible and locally presentable categories; Enriched categories; Homotopical algebra
Tags rivok
Tags International impact, Reviewed
Changed by Changed by: Mgr. Marie Šípková, DiS., učo 437722. Changed: 13/6/2024 13:19.
Abstract
Recently Riehl and Verity have introduced infinity-cosmoi, which are certain simplicially enriched categories with additional structure. In this paper we investigate those infinity-cosmoi which are in fact 2-categories; we shall refer to these as 2-cosmoi. We show that each 2-category with flexible limits gives rise to a 2-cosmos whose distinguished class of isofibrations consists of the normal isofibrations. Many examples arise in this way, and we show that such 2-cosmoi are minimal as Cauchycomplete 2-cosmoi. Finally, we investigate accessible 2-cosmoi and develop a few aspects of their basic theory.
Links
GA22-02964S, research and development projectName: Obohacené kategorie a jejich aplikace (Acronym: ECATA)
Investor: Czech Science Foundation
PrintDisplayed: 17/7/2024 09:27