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Some consequences of Lašnev’s theorem in shape-theory

Morón, Manuel A. (1988) Some consequences of Lašnev’s theorem in shape-theory. Canadian Mathematical Bulletin-Bulletin Canadien de Mathematiques, 31 (3). pp. 318-321. ISSN 0008-4395

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Abstract

In this paper we use the Lašnev Theorem in order to give some properties of a class of metrizable spaces having compact metric shape.

Item Type:Article
Uncontrolled Keywords:Compact metric shape; class S0; space of components
Subjects:Sciences > Mathematics > Topology
ID Code:15694
References:

M. Alonso Morón, Upper semicontinuous decompositions and movability in metric spaces. To appear in Bull. Acad. Polon. Sci.

On the problem of components in shape theory for metrizable spaces. Preprint.

D. Burke, Closed mapping, Surveys in General Topology, Academic Press (1980), pp. 1-32.

J. Chaber, Generalizations of Lasnev's Theorem, Fund. Math. 119 (1983), pp. 85-91.

R. H. Fox, On shape, Fund. Math. 74 (1973), pp. 47-71.

N. Lasnev, Continuous decompositions, and closed mappings of metric spaces, Soviet Math. Dokl. 6 (1965), pp. 1504-1506.

T. Watanabe, On spaces which have the shape of compact metric spaces, Fund. Math. 104 (1979), pp. 1-11.

Deposited On:20 Jun 2012 09:02
Last Modified:06 Feb 2014 10:30

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