2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/118139An integer-valued fixed point index for compositions of acyclic multivalued maps is constructed. This integer-valued fixed point index has the properties: additivity, homotoy invariance, normalization, commutativity, multiplicativity. The acyclicity is with respect to the Cech cohomology with integer coefficients. The technique of chain approximation is used.12 pagesGeneral TopologyAlgebraic Topology54H25 54C60Integer-valued fixed point index for compositions of acyclic mapstext