The spectral sequence of a continuous mapping and coverings for Deheuvels homology

An analog is proved of the theorem of Leray on the spectral sequence of a continuous mapping, for the Deheuvels homology of a metric compactum with coefficients in a copresheaf of $R$-modules. The proof uses a functor constructed by the author, which assigns to an inverse spectrum a resolution acyclic with respect to the inverse limit functor.
Bibliography: 3 titles.