连续体正方形的对角线

IF 0.6 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2024-10-16 DOI:10.1016/j.topol.2024.109099

A. Illanes , V. Martínez-de-la-Vega , Jorge M. Martínez-Montejano , Daria Michalik

引用次数: 0

摘要

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Diagonals of the square of a continuum

Given a continuum X, let

X^{2} = X \times X

and

Δ = {(x, x) \in X^{2} : x \in X}

. We deal with the following properties of Δ in

X^{2}

: the colocal connectedness, non-weak cut, non-block, and non-cut. We consider the following classes of continua: arcwise connected, locally connected, dendroids, indecomposable continua and metric compactifications of the ray

[0, \infty)

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.