The Banach-Mazur game and domain theory

被引：0
|
作者：
Bak, Judyta [1 ,2 ]
Kucharski, Andrzej [2 ]
机构：
[1] Jan Kochanowski Univ, Inst Math, Swietokrzyska 15, PL-25406 Kielce, Poland
[2] Univ Silesia Katowice, Inst Math, Bankowa 14, PL-40007 Katowice, Poland
来源：
ARCHIV DER MATHEMATIK | 2020年 / 114卷 / 01期
关键词：
Weakly alpha-favorable space; Banach-Mazur game; Choquet game; Strong Choquet game; Continuous directed complete partial order; Domain representable space; TOPOLOGICAL GAMES;
D O I：
10.1007/s00013-019-01370-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that player a has a winning strategy in the Banach-Mazur game on a space X if and only if X is F-Y countably pi-domain representable. We show that Choquet complete spaces are F-Y countably domain representable. We give an example of a space, which is F-Y countably domain representable, but which is not F-Y pi-domain representable.
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页码：51 / 59
页数：9
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