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).
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