Detailed Information on Publication Record
2024
On 2-categorical infinity-cosmoi
BOURKE, John Denis and Stephen LACKBasic 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
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
Netherlands
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 0.800 in 2022
Organization unit
Faculty of Science
UT WoS
001222860900001
Keywords in English
infinity-categories; accessible and locally presentable categories; Enriched categories; Homotopical algebra
Tags
Tags
International impact, Reviewed
Změněno: 13/6/2024 13:19, Mgr. Marie Šípková, DiS.
Abstract
V originále
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 project |
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