Games with finitely generated structures

0544167 - MÚ 2022 RIV NL eng J - Článek v odborném periodiku
Krawczyk, A. - Kubiś, Wieslaw
Games with finitely generated structures.
Annals of Pure and Applied Logic. Roč. 172, č. 10 (2021), č. článku 103016. ISSN 0168-0072. E-ISSN 1873-2461
Grant CEP: GA ČR(CZ) GX20-31529X
Institucionální podpora: RVO:67985840
Klíčová slova: Banach-Mazur game * Fraïssé class * weak amalgamation property
Obor OECD: Pure mathematics
Impakt faktor: 0.776, rok: 2021
Způsob publikování: Omezený přístup
https://doi.org/10.1016/j.apal.2021.103016

We study the abstract Banach-Mazur game played with finitely generated structures instead of open sets. We characterize the existence of winning strategies aiming at a single countably generated structure. We also introduce the concept of weak Fraïssé classes, extending the classical Fraïssé theory, revealing its relations to our Banach-Mazur game. Finally, we exhibit connections between the universality number and the weak amalgamation property.
Trvalý link: http://hdl.handle.net/11104/0321216