Every connected first countable T1-space is a continuous open image of a connected metrizable space

IF 0.6 3区数学 Q3 MATHEMATICS

Acta Mathematica Hungarica Pub Date : 2024-10-15 DOI:10.1007/s10474-024-01474-3

V. Smolin

引用次数: 0

Abstract

Answering a question posed by Vladimir Tkachuk, we prove that every connected first countable T₁-space is a continuous open image of a connected metrizable space.

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每个连通的第一可数 T1 空间都是一个连通的可元空间的连续开图像

为了回答弗拉基米尔-特卡丘克（Vladimir Tkachuk）提出的问题，我们证明了每一个连通的第一可数 T1 空间都是一个连通的可三维空间的连续开图像。

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

Acta Mathematica Hungarica 数学-数学

CiteScore

1.50

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Acta Mathematica Hungarica is devoted to publishing research articles of top quality in all areas of pure and applied mathematics as well as in theoretical computer science. The journal is published yearly in three volumes (two issues per volume, in total 6 issues) in both print and electronic formats. Acta Mathematica Hungarica (formerly Acta Mathematica Academiae Scientiarum Hungaricae) was founded in 1950 by the Hungarian Academy of Sciences.