MORE ON THE CUT AND CHOOSE GAME

Authors
ZAPLETAL J
Citation
J. Zapletal, MORE ON THE CUT AND CHOOSE GAME, Annals of pure and applied Logic, 76(3), 1995, pp. 291-301
Citations number
14
Categorie Soggetti
Mathematics, Pure",Mathematics,Mathematics,Mathematics
Journal title
Annals of pure and applied Logic → ACNP
ISSN journal
01680072
Volume
76
Issue
3
Year of publication
1995
Pages
291 - 301
Database
ISI
SICI code
0168-0072(1995)76:3<291:MOTCAC>2.0.ZU;2-P
Abstract
The cut and choose game G(c&c)(B) is one of the infinitary games on a complete Boolean algebra B introduced by Jech. We prove that existence of a winning strategy for II in G(c&c)(B) implies semiproperness of B . If the existence of a supercompact cardinal is consistent then so is ''for every N-1-distributive algebra B II has a winning strategy in G (c&c)(B)''.