Enriched locally generated categories

0557714 - MÚ 2023 RIV CA eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR(CZ) GX20-31529X
Institucionální podpora: RVO:67985840
Klíčová slova: accessible monad * Banach spaces * enriched category * Gabriel-Ulmer duality
Obor OECD: Pure mathematics
Impakt faktor: 0.5, rok: 2022
Způsob publikování: 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.
Trvalý link: http://hdl.handle.net/11104/0331634