连续体超空间上的ri集、伪可缩性和弱可缩性

Pub Date : 2018-12-30 DOI:10.3336/GM.53.2.08

F. Capulín, L. Juárez-Villa, Fernando Orozco-Zitli

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引用次数: 4

摘要

讨论了Hausdorff连续体超空间上的伪可缩性和弱可缩性的概念。同时证明了如果连续统X包含一个r集，则它是不可赝可缩的。结果表明，连续统X中r集的存在性意味着某些超空间的非(伪)可缩性。

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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Ri-sets, pseudo-contractibility and weak contractibility on hyperspaces of continua

In this paper we discuss the notions of pseudo-contractibility and weak contractibility on hyperspaces of (Hausdorff) continua. Also we prove that if a continuum X contains an R-set then it is not pseudocontractible. As a consequence we have that the existence of an R-set in a continuum X implies non(pseudo)-contractibility of some hyperspaces.

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