Publication: Some consequences of Lašnev’s theorem in shape-theory
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1988
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Canadian Mathematical Society
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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.
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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.