## Journal of Symbolic Logic

### Approachability and games on posets

Yasuo Yoshinobu

#### Abstract

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.

#### Article information

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

Dates
First available in Project Euclid: 11 May 2003

https://projecteuclid.org/euclid.jsl/1052669065

Digital Object Identifier
doi:10.2178/jsl/1052669065

Mathematical Reviews number (MathSciNet)
MR1976592

Zentralblatt MATH identifier
1055.03031

#### Citation

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

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