Integer-valued fixed point index for compositions of acyclic maps

Details Integer-valued fixed point index for compositions of acyclic maps Integer-valued fixed point index for compositions of acyclic maps

2006-10-27

arxiv.org/abs/math/0610831v1

Mathematics

General Topology

12 pages

Scientific paper

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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