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Banach-Mazur game played in partially ordered sets (1505.01094v1)

Published 5 May 2015 in math.LO

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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