Weak Fraïssé categories

0552374 - MÚ 2023 RIV CA eng J - Journal Article
Kubiś, Wieslaw
Weak Fraïssé categories.
Theory and Applications of Categories. Roč. 38, č. 2 (2022), s. 27-63. ISSN 1201-561X
R&D Projects: GA ČR(CZ) GX20-31529X
Institutional support: RVO:67985840
Keywords : weak amalgamation property * generic object * Fraïssé limit
OECD category: Pure mathematics
Impact factor: 0.5, year: 2022
Method of publishing: Open access
http://www.tac.mta.ca/tac/volumes/38/2/38-02.pdf

We develop the theory of weak Fraïssé categories, in which the crucial concept is the weak amalgamation property, discovered relatively recently in model theory. We show that, in a suitable framework, every weak Fraïssé category has its unique generic limit, a special object in a bigger category, characterized by a certain variant of injectivity. This significantly extends the present theory of Fraïssé limits.
Permanent Link: http://hdl.handle.net/11104/0327518