English

Integer-valued fixed point index for compositions of acyclic maps

General Topology 2007-05-23 v1 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.math/0610831,
  title  = {Integer-valued fixed point index for compositions of acyclic maps},
  author = {E. G. Sklyarenko and G. Skordev},
  journal= {arXiv preprint arXiv:math/0610831},
  year   = {2007}
}

Comments

12 pages