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Banach–Mazur game played in partially ordered sets

Volume 108 / 2016

Wiesław Kubiś Banach Center Publications 108 (2016), 151-160 MSC: 91A44, 03C50, 54E52. DOI: 10.4064/bc108-0-12

Abstract

Concepts, definitions, notions, and some facts concerning the Banach–Mazur game are customized to a more general setting of partial orderings. It is applied in the theory of Fraïssé limits and beyond, obtaining simple proofs of universality of certain objects and classes.

Authors

  • Wiesław KubiśFaculty of Mathematics and Natural Sciences
    College of Science
    Cardinal Stefan Wyszyński
    University in Warsaw
    Poland

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