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Approachability and Games on Posets

Published online by Cambridge University Press:  12 March 2014

Yasuo Yoshinobu
Yasuo Yoshinobu*
Affiliation:
Graduate School of Human Informatics, Nagoya University, Nagoya 464-8601, Japan, E-mail: [email protected]
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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 [5]. We also give a complete classification of strengths of strategic closure properties and that of strong strategic closure properties respectively.

Type
Research Article
Information
The Journal of Symbolic Logic , Volume 68 , Issue 2 , June 2003 , pp. 589 - 606
Copyright
Copyright © The International Society for Twin Studies 1963

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References

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