Resumen de Homotopía propia simplicial II

Luis Javier Hernández Paricio, José Manuel García Calcines, Sergio Rodríguez Machín

• 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).