Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions
Algebraic Topology
2007-05-23 v3
Abstract
For a given pair of maps f,g:X->M from an arbitrary topological space to an n-manifold, the Lefschetz homomorphism is a certain graded homomorphism L:H(X)->H(M) of degree (-n). We prove a Lefschetz-type coincidence theorem: if the Lefschetz homomorphism is nontrivial then there is an x in X such that f(x)=g(x).
Keywords
Cite
@article{arxiv.math/9909028,
title = {Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions},
author = {Peter Saveliev},
journal= {arXiv preprint arXiv:math/9909028},
year = {2007}
}
Comments
Final version: 14 pages. Two minor corrections. To appear in Topology Appl