赢得下压博弈而非 Banach Mazur 博弈
逻辑
2008-03-30 v2
摘要
令 为那些余豫序数(cofinality)为 的 组成的集合。相对于一个可测基数,以下情形是一致的:非空方玩家赢得长度为 的下压博弈,但不赢得长度为 的 Banach Mazur 博弈(两博弈均以 为起始)。
关键词
引用
@article{arxiv.math/0609655,
title = {Winning the pressing down game but not Banach Mazur},
author = {Jakob Kellner and Matti Pauna and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0609655},
year = {2008}
}
备注
New version: some improvements in presentation, references, history; main theorem slightly strengthened; some typos removed