On the strategies for NONEMPTY in topological games

Date

2020-06-01

Author

Önal, Süleyman

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We prove that if NONEMPTY has a Markov strategy in the Choquet game on a space X, then the player has a 2-tactic in that game. We also prove that if NONEMPTY has a k-Markov strategy in the Choquet game on a space X which has a Noetherian base with countable rank, then the player has a k-tactic in that game. We show that if NONEMPTY has a winning strategy in the Choquet game on a space X which has one of the some special bases including sigma-locally countable bases, then the player has a 2-tactic in that game. We also show that if NONEMPTY has a winning strategy in the Choquet game on a space X which has some special Noetherian bases, then NONEMPTY has a stationary strategy, 1-tactic, in that game. We investigate some similar results for the Banach-Mazur game.

Subject Keywords

Geometry and Topology

URI

https://hdl.handle.net/11511/37366

Journal

TOPOLOGY AND ITS APPLICATIONS

DOI

https://doi.org/10.1016/j.topol.2020.107236

Collections

Department of Mathematics, Article

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Citation Formats

S. Önal, “On the strategies for NONEMPTY in topological games,” TOPOLOGY AND ITS APPLICATIONS, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/37366.