A Lefschetz type coincidence theorem
Algebraic Topology
2007-05-23 v2
Abstract
A Lefschetz-type coincidence theorem for two maps f,g:X->Y from an arbitrary topological space X to a manifold Y is given: I(f,g)=L(f,g), the coincidence index is equal to the Lefschetz number. It follows that if L(f,g) is not equal to zero then there is an x in X such that f(x)=g(x). In particular, the theorem contains some well-known coincidence results for (i) X,Y manifolds and (ii) f with acyclic fibers.
Keywords
Cite
@article{arxiv.math/9806021,
title = {A Lefschetz type coincidence theorem},
author = {Peter Saveliev},
journal= {arXiv preprint arXiv:math/9806021},
year = {2007}
}
Comments
The final version, 23 pages, to appear in Fund. Math