An extension of the class σE and complete Erdős space

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-06-19 DOI:10.1016/j.topol.2025.109483

Alfredo Zaragoza

引用次数: 0

Abstract

In [6], a topological characterization of the product of the rational numbers and complete Erdős space was found introducing the class

σ E

. The objective of this work is to introduce the class of spaces

σ E^{-}

and study some of its properties. We will also show that for certain subsets of complete Erdős space, the classes

σ E

and

σ E^{-}

coincide. This fact gives a partial answer to some questions of [6].

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扩展了类σE和完整的Erdős空间

在[6]中，引入了类σE，得到了有理数与完全Erdős空间之积的拓扑表征。本文的目的是引入一类空间σE−，并研究它的一些性质。我们还将证明对于完全Erdős空间的某些子集，σE和σE−类重合。这一事实部分地回答了b[6]的一些问题。

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.