Homotopical properties of upper semifinite hyperspaces of compacta |
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| Authors: | M. Alonso-Moró n,A. Gonzá lez Gó mez |
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| Affiliation: | a Departamento de Geometría y Topología, Facultad de Ciencias Matemáticas, Universidad Complutense de Madrid, 28040 Madrid, Spain
b Departamento de Matemática Aplicada a los Recursos Naturales, E.T. Superior de Ingenieros de Montes, Universidad Politécnica de Madrid, 28040 Madrid, Spain |
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| Abstract: | In this paper we study homotopical properties of a special neighborhood system, which is denoted by {Uε}?>0, for the canonical embedding of a compact metric space in its upper semifinite hyperspace to get results in the shape theory for compacta. We also point out that there are spaces with the shape of finite discrete spaces and having not the homotopy type of any T1-space |
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| Keywords: | 54B20 54C56 |
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