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Integer-valued fixed point index for compositions of acyclic maps |
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| Authors: | E. G. Sklyarenko G. S. Skordev |
| Affiliation: | 1. Department of Mechanics and Mathematics, Moscow State University, Leninskie Gory, 119992, Moscow, Russia 2. Department of Mathematics and Informatics, University of Bremen, Universit?tsallee 29, 28359, Bremen, Germany |
| Abstract: | An integer-valued fixed point index for compositions of acyclic multivalued maps is constructed. This index has the additivity, homotopy invariance, normalization, commutativity, and multiplicativity properties. The acyclicity is with respect to the Čech cohomology with integer coefficients. The technique of chain approximation is used. Dedicated to the memory of Jean Leray |
| Keywords: | Primary 54H25 Secondary 54C60 55M25 |
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