Banach-Mazur game played in partially ordered sets

2015/05/05 by Kubiś, Wieslaw
#03C50 #54E52 #91A44 #FOS: Mathematics #Logic (math.LO)

paper · doi:10.48550/arxiv.1505.01094

Abstract

We present a version of the Banach-Mazur game, where open sets are replaced by elements of a fixed partially ordered set. We show how to apply it in the theory of Fraisse limits and beyond, obtaining simple proofs of universality of certain objects and classes.

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