Banach–Mazur game played in partially ordered sets
Volume 108 / 2016
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.
