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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-12,
author = {Wies\l aw Kubi\'s},
title = {Banach-Mazur game played in partially ordered sets},
journal = {Banach Center Publications},
volume = {108},
year = {2016},
pages = {151-160},
zbl = {06622292},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-12}
}
Wiesław Kubiś. Banach-Mazur game played in partially ordered sets. Banach Center Publications, Tome 108 (2016) pp. 151-160. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc108-0-12/