连续体长超空间映射间的伪同伦

IF 0.4 4区数学 Q4 MATHEMATICS

Colloquium Mathematicum Pub Date : 2022-01-01 DOI:10.4064/cm8254-7-2021

F. Capulín, E. Castañeda-Alvarado, L. Juárez-Villa, David Maya

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引用次数: 1

摘要

．引入g生长超空间的概念:若X是连续统，则2x的非空子集H是X的g生长超空间，若a是2x的子连续统且a∩H (cid:54) =∅，则(cid:83) a∈H。研究了连续超空间映射之间的伪同伦。因此，我们证明了伪可收缩性和可收缩性在g增长超空间中是等价的。

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Pseudo-homotopies between maps on g-growth hyperspaces of continua

. We introduce the concept of g-growth hyperspace: if X is a continuum, then a non-empty subset H of 2 X is a g-growth hyperspace of X provided that if A is a subcontinuum of 2 X and A∩H (cid:54) = ∅ , then (cid:83) A ∈ H . We study pseudo-homotopies between maps of hyperspaces of continua. As a consequence, we show that pseudo-contractibility and contractibility are equivalent in g-growth hyperspaces.

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来源期刊

Colloquium Mathematicum MATHEMATICS-

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Colloquium Mathematicum is a journal devoted to the publication of original papers of moderate length addressed to a broad mathematical audience. It publishes results of original research, interesting new proofs of important theorems and research-expository papers in all fields of pure mathematics. Two issues constitute a volume, and at least four volumes are published each year.