Approachability and games on posets
Yoshinobu, Yasuo
J. Symbolic Logic, Tome 68 (2003) no. 1, p. 589- 606 / Harvested from Project Euclid
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.
Publié le : 2003-06-14
Classification: 
@article{1052669065,
     author = {Yoshinobu, Yasuo},
     title = {Approachability and games on posets},
     journal = {J. Symbolic Logic},
     volume = {68},
     number = {1},
     year = {2003},
     pages = { 589- 606},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1052669065}
}
Yoshinobu, Yasuo. Approachability and games on posets. J. Symbolic Logic, Tome 68 (2003) no. 1, pp.  589- 606. http://gdmltest.u-ga.fr/item/1052669065/