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.

引用

页码：51 / 59

页数：9

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