Homotopía propia simplicial I

1. García Calcines, José Manuel
2. Rodríguez Machín, Sergio
3. Hernández Paricio, Luis Javier

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Otras publicaciones en: Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Resumen

The notion of exterior space consists of a topological space together with a certain nonempty family of open subsets that is thought of as a 'system of open neighborhoods at infinity'. An exterior map is a continuous map which is 'continuous at infinity'. In this paper we present and develop the category of exterior spaces as a good framework for proper homotopy theory. As an application we give a new version of the Whitehead theorem for proper homotopy theory. We also give simplicial models for this new category and we analyze singular and realization-type functors for these models.

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