Homotopía propia simplicial II

  1. Hernández Paricio, Luis Javier
  2. Rodríguez Machín, Sergio
  3. García Calcines, José Manuel
Journal:
Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

ISSN: 0370-3207

Year of publication: 2002

Issue: 57

Pages: 113-134

Type: Article

More publications in: Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza

Abstract

Taking into account the simplicial models given in the category of exterior spaces we define and develop homology invariants for this category: the M-homology and the R-homology, as well as the tubular and the closed tubular homologies. As an application we give a description of the reduced Steenrod homology for compact metric spaces, X, in terms of the closed tubular homology of the Lefschetz's fundamental complex OFC(X).