The proximal game and its connections to other games

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2026-01-01 Epub Date: 2025-10-13 DOI:10.1016/j.topol.2025.109636

Khulod Almontashery , Paul J. Szeptycki

引用次数: 0

Abstract

We introduce a strengthening of the class of the proximal and semi-proximal spaces by restricting the proximal game to totally bounded uniformities. In addition, we examine the connections between the proximal game and two well-known games, one set-theoretic the other topological: the Galvin game and the Gruenhage game.

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近端游戏及其与其他游戏的联系

通过将近端对策限制为完全有界均匀性，我们引入了近端和半近端空间类的强化。此外，我们研究了近端对策与两个著名的对策之间的联系，一个是集合论的，另一个是拓扑论的：Galvin对策和Gruenhage对策。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.