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arXiv · 1701.05756

Games with finitely generated structures

Adam Krawczyk·Wiesław Kubiś
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Abstract

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 Fraisse classes, extending the classical Fraisse theory and revealing its relations to our Banach-Mazur game.

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BibTeXRIS

Adam Krawczyk, Wiesław Kubiś. 2017-01-20. Games with finitely generated structures. https://doi.org/10.1016/j.apal.2021.103016

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