Homotopía propia simplicial I
- García Calcines, José Manuel
- Rodríguez Machín, Sergio
- Hernández Paricio, Luis Javier
ISSN: 0370-3207
Año de publicación: 2002
Número: 57
Páginas: 89-112
Tipo: Artículo
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.