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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