一些具有原点空间集值映射的拓扑空间的特征

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2024-05-08 DOI:10.1016/j.topol.2024.108940

Er-Guang Yang

引用次数: 0

摘要

本文介绍了拓扑空间原点的概念。然后介绍了一些空间（如可分层空间和 MCP 空间）在 F(Y) 中具有值的集值映射的特征，其中 Y 具有一个原点。

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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Characterizing some topological spaces with set-valued maps to a space with an original point

In this paper, the notion of an original point for a topological space is introduced. Then characterizations of some spaces such as stratifiable spaces and MCP-spaces in terms of set-valued maps with values in $F (Y)$ , where Y has an original point, are presented.

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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.