On the strategies for NONEMPTY in topological games

Üniversitemiz öğretim üyelerinden Prof. Dr. Süleyman Önal’ın yazarları arasında bulunduğu “On the strategies for NONEMPTY in topological games” başlıklı makale Topology and its Applications’ta yayınlandı.

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 σ-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.

Önal, S., & Soyarslan, S. (2020). On the strategies for NONEMPTY in topological games. Topology and its Applications, 278 doi:10.1016/j.topol.2020.107236

Makaleye erişim için: https://www.sciencedirect.com/science/article/pii/S0166864120301796

Etiketler/Anahtar sözcükler:

Banach-Mazur game, Choquet game, Markov strategy, Noetherian base, Stationary strategies, Tactic, Topological games, Winning strategies

Diğer Yazarlar:
Soyarslan, S.

Ek Bilgiler:
The authors would like to thank Dr. Çetin VURAL for his contribution to this work.