On 2-categorical infinity-cosmoi

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F24%3A00139448" target="_blank" >RIV/00216224:14310/24:00139448 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0022404924000586" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022404924000586</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.jpaa.2024.107661" target="_blank" >10.1016/j.jpaa.2024.107661</a>

Result language
angličtina
Original language name
On 2-categorical infinity-cosmoi
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA22-02964S" target="_blank" >GA22-02964S: Enriched categories and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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