Integer-valued fixed point index for compositions of acyclic maps
classification
🧮 math.GN
math.AT
keywords
fixedindexinteger-valuedpointacycliccompositionsmapsacyclicity
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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.
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