Covering Games and the Banach-Mazur Game: K-tactics

Tomek Bartoszyński, Winfried Just, Marion Scheepers

Type: Article

Publication Date: 1993-12-01

Citations: 7

DOI: https://doi.org/10.4153/cjm-1993-051-4

Abstract

Abstract Given a free ideal J of subsets of a set X , we consider games where player ONE plays an increasing sequence of elements of the σ-completion of J , and player TWO tries to cover the union of this sequence by playing one set at a time from J . We describe various conditions under which player TWO has a winning strategy that uses only information about the most recent k moves of ONE, and apply some of these results to the Banach-Mazurgame.

Locations

Canadian Journal of Mathematics - View - PDF
arXiv (Cornell University) - View - PDF

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