Hostname: page-component-76fb5796d-zzh7m Total loading time: 0 Render date: 2024-04-28T10:53:39.886Z Has data issue: false hasContentIssue false
  • English
  • Français

Some Consequences of lašnev's Theorem in Shape Theory

Published online by Cambridge University Press:  20 November 2018

M. Alonso Moron
M. Alonso Moron*
Affiliation:
Departamento de MatematicasE.T.S. de Ingenieros de Montes, Universidad politecnica de Madrid Ciudad Universitaria, madrid 28040
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Keywords

Compact metric shapeClass S0Space of components54F4354B15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988 , pp. 318 - 321
Copyright
Copyright © Canadian Mathematical Society 1988

References

1. Moron, M. Alonso, Upper semicontinuous decompositions and movability in metric spaces. To appear in Bull. Acad. Polon. Sci.Google Scholar
2. Alonso Moron, M., On the problem of components in shape theory for metrizable spaces. Preprint.Google Scholar
3. Burke, D., Closed mapping, Surveys in General Topology, Academic Press (1980), pp. 1–32.Google Scholar
4. Chaber, J., Generalizations of Lasnev's Theorem, Fund. Math. 119 (1983), pp. 85–91.Google Scholar
5. Fox, R. H., On shape, Fund. Math. 74 (1973), pp. 47–71.Google Scholar
6. Lašnev, N., Continuous decompositions, and closed mappings of metric spaces, Soviet Math. Dokl. 6 (1965), pp. 1504–1506.Google Scholar
7. Watanabe, T., On spaces which have the shape of compact metric spaces, Fund. Math. 104 (1979), pp. 1–11.Google Scholar