Journal of Symbolic Logic

Approachability and games on posets

Yasuo Yoshinobu

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We show that for any infinite cardinal κ, every strongly (κ+1)-strategically closed poset is strongly κ+-strategically closed if and only if APκ (the approachability property) holds, answering the question asked in [k5]. We also give a complete classification of strengths of strategic closure properties and that of strong strategic closure properties respectively.

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J. Symbolic Logic, Volume 68, Issue 2 (2003), 589- 606.

First available in Project Euclid: 11 May 2003

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Yoshinobu, Yasuo. Approachability and games on posets. J. Symbolic Logic 68 (2003), no. 2, 589-- 606. doi:10.2178/jsl/1052669065.

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