Shape theory intrinsically

Autores: Zvonko Cerin
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 37, Nº 2, 1993, págs. 317-334
Idioma: inglés
Títulos paralelos:
- Teoría intrínseca de la forma
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Resumen
- We prove in this paper that the category HM whose objects are topological spaces and whose morphisms are homotopy classes of multi-nets is naturally equivalent to the shape theory Sh. The description of the category HM was given earlier in the article "Shape via multi-nets". We have shown there that HM is naturally equivalent to Sh only on a rather restricted class of spaces. This class includes all compact metric spaces where a similar intrinsic description of the shape category using multi-valued functions was given by José M. R. Sanjurjo in [5] and [6].