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Two Variations of the Choquet Game

2004; Kyungpook National University; Volume: 44; Issue: 4 Linguagem: Inglês

1225-6951

Jiling Cao, Zbigniew Piotrowski,

Advanced Topology and Set Theory

The Banach-Mazur game and the Choquet game are revisited to deduce new characterizations of sieve (almost) complete spaces. Some classical results of Choquet are extended to larger classes of spaces. By using the notion of sieve (almost) completeness, certain types of topological dosed graph and open mapping theorems are established.