关于除数拓扑空间的自同胚

IF 0.5 4区数学 Q3 MATHEMATICS

Topology and its Applications Pub Date : 2025-08-20 DOI:10.1016/j.topol.2025.109550

Jhixon Macías

引用次数: 0

摘要

设D为拓扑空间（N2,τ），其中N2为≥2的整数集合，τ为除数拓扑。在本文中，我们刻画了D上的自同胚，并证明了D上的同胚群与整数的对称群是同构的。

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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On self-homeomorphisms of the divisor topological space

Let D be the topological space

(N_{2}, τ)

, where

N_{2}

is the set of integers ≥2 and τ is the divisor topology. In this work (among other results), we characterize the self-homeomorphisms on D, and show that the group of homeomorphisms of D is isomorphic to the symmetric group of the integers.

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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.