Some remarks on Erdős spaces

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2024-06-07 DOI:10.1016/j.topol.2024.108987

Alfredo Zaragoza

引用次数: 0

Abstract

The objective of this work is to present some results related to some Erőds spaces. This paper answers a question made by the author in [12] proving that if X is a cohesive space then $K (X)$ is a cohesive space; we give a partial answer to question 7.3 of [7] providing an internal characterization of $Q \times E_{c}$ -factors for certain subsets of $Q \times E_{c}$ and $E_{c}$ ; and we give conditions under which a perfect or open image of the complete Erdős space is homeomorphic to the complete Erdős space.

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关于厄尔多斯空间的一些评论

这项工作的目的是提出一些与鄂尔多斯空间相关的结果。本文回答了作者在[12]中提出的一个问题，证明了如果 X 是内聚空间，那么 K(X) 就是内聚空间；我们给出了[7]中问题 7.3 的部分答案，为 Q×Ec 和 Ec 的某些子集提供了 Q×Ec 因子的内部特征；我们还给出了条件，在这些条件下，完整厄尔多斯空间的完美或开放映像与完整厄尔多斯空间同构。

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.