Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions
Abstract
Description
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).
Final version: 14 pages. Two minor corrections. To appear in Topology Appl
Final version: 14 pages. Two minor corrections. To appear in Topology Appl