公式省略]的非三维副本

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2024-07-05 DOI:10.1016/j.topol.2024.109008

引用次数: 0

摘要

我们证明，即使内的所有自同构都是微不足道的，有规则封闭的非闭合副本和一个非微不足道的自映射也是一致的。

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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Non-trivial copies of N⁎

We show that it is consistent to have regular closed non-clopen copies of $N^{⁎}$ within $N^{⁎}$ and a non-trivial self-map of $N^{⁎}$ even if all autohomeomorphisms of $N^{⁎}$ are trivial.

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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.

期刊最新文献

Editorial Board The Rudin-Kiesler pre-order and the Pixley-Roy spaces over ultrafilters The uniform convergence topology on separable subsets Relatively functionally countable subsets of products Extendability to Marczewski-Burstin countably representable ideals