首页 | 本学科首页   官方微博 | 高级检索  
     


Directive trees and games on posets
Authors:Tetsuya Ishiu   Yasuo Yoshinobu
Affiliation:Department of Mathematics, University of California, Irvine, California 92697 ; Graduate School of Human Informatics, Nagoya University, Nagoya 464-8601, Japan
Abstract:
We show that for any infinite cardinal $kappa $, every $(kappa +1)$-strategically closed poset is $kappa ^{+}$-strategically closed if and only if $square _{kappa }$ holds. This extends previous results of Velleman, et.al.

Keywords:Directive trees   strategic closure
点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息
点击此处可从《Proceedings of the American Mathematical Society》下载全文
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号