Enriched locally generated categories

0557714 - MÚ 2023 RIV CA eng J - Journal Article
Di Liberti, Ivan - Rosický, J.
Enriched locally generated categories.
Theory and Applications of Categories. Roč. 38, č. 17 (2022), s. 661-683. ISSN 1201-561X
R&D Projects: GA ČR(CZ) GX20-31529X
Institutional support: RVO:67985840
Keywords : accessible monad * Banach spaces * enriched category * Gabriel-Ulmer duality
OECD category: Pure mathematics
Impact factor: 0.5, year: 2022
Method of publishing: Open access
http://www.tac.mta.ca/tac/volumes/38/17/38-17.pdf

We introduce the notion of M-locally generated category for a factorization system (E, M) and study its properties. We offer a Gabriel-Ulmer duality for these categories, introducing the notion of nest. We develop this theory also from an enriched point of view. We apply this technology to Banach spaces showing that it is equivalent to the category of models of the nest of finite-dimensional Banach spaces.
Permanent Link: http://hdl.handle.net/11104/0331634