Equivalences in selective topological games on the class of dense subsets in the space of continuous functions Ck(X)

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-05-22 DOI:10.1016/j.topol.2025.109435

Juan F. Camasca Fernández

引用次数: 0

Abstract

We obtain an equivalence in variations of selective topological games for the case of the class of k-covers in regular spaces and the class of dense subsets of the space of continuous functions with the compact-open topology.

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连续函数Ck(X)空间中密集子集类上的选择性拓扑对策的等价性

对于正则空间上的k-盖类和紧开拓扑上的连续函数空间的密集子集类，我们得到了选择拓扑对策的一个等价变分。

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.