Proper shape over finite coverings

Nikita Shekutkovski; Gorgi Markoski

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Proper shape over finite coverings

机译：有限覆盖物的正确形状

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摘要

A proper shape is presented using an intrinsic definition and only finite coverings of open sets with compact boundary. For locally compact separable metric spaces with compact spaces of quasicomponents, it is shown: If X and Y have the same proper shape over finite coverings then their end points compactifications FX and FY have the same shape.

机译：使用固有定义和具有紧凑边界的开放集的有限覆盖来呈现适当的形状。对于具有拟分量紧凑空间的局部紧凑可分度量空间，显示如下：如果X和Y在有限覆盖上具有相同的适当形状，则其端点压缩FX和FY具有相同的形状。

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来源
《Topology and its applications》 |2011年第15期|p.2016-2021|共6页
作者
Nikita Shekutkovski; Gorgi Markoski;
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作者单位

Institute of Mathematics, Faculty of Natural Sciences and Mathematics, Sts. Cyril and Methodius University, WOO Skopje, Macedonia;

Institute of Mathematics, Faculty of Natural Sciences and Mathematics, Sts. Cyril and Methodius University, WOO Skopje, Macedonia;

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正文语种 eng
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关键词
intrinsic proper shape; finite coverings; end point compactification; continuity up to a covering; proximate sequence;

机译：固有的固有形状;有限的覆盖终点压实;覆盖范围的连续性;近序列;

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Proper shape over finite coverings

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