再论 C（X，Y）上的正则拓扑学

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-09-05 DOI:10.1007/s10474-024-01463-6

A. Jindal

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引用次数: 0

摘要

本文旨在研究 C(X,Y)上正则拓扑的一些重要拓扑性质，C(X,Y)是从泰克诺夫空间 X 到度量空间 (Y, d) 的所有连续函数的集合。我们特别详细地研究了 C(X, Y) 上正则拓扑的连通性。最后，我们还研究了一些重要的可数性质。

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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The regular topology on C(X, Y) revisited

This paper aims to study some important topological properties of the regular topology on C(X, Y), the set of all continuous functions from a Tychonoff space X to a metric space (Y, d). In particular, we study in detail the connectedness of the regular topology on C(X, Y). In the end, some important countability properties are studied.

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来源期刊

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.