The \(\ast\)-variation of the Banach-Mazur game and forcing axioms

DOI10.1016/J.APAL.2017.01.003zbMath1422.03109arXiv1503.06703OpenAlexW2963343983MaRDI QIDQ2400506

Yasuo Yoshinobu

Publication date: 29 August 2017

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.06703

zbMATH Keywords

Banach-Mazur gameproper forcing axiom

Mathematics Subject Classification ID

Games involving topology, set theory, or logic (91A44) Games in extensive form (91A18) Consistency and independence results (03E35) Other aspects of forcing and Boolean-valued models (03E40) Generic absoluteness and forcing axioms (03E57)

Cites Work

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• Martin’s maximum and weak square
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• On a generalization of Jensen's □_κ, and strategic closure of partial orders
• Nonsplitting subset of _κ(κ⁺)
• Iterated perfect-set forcing
• Fragments of Martin's Maximum in generic extensions
• Kurepa trees and Namba forcing
• Separating stationary reflection principles

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