Integer-valued fixed point index for compositions of acyclic maps

E. G. Sklyarenko, G. Skordev

Published 2006-10-27Version 1

An 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.