1999/09/30 by Peter Saveliev
Mathematics · #math.AT #msc:55M20 #msc:55H25
published as Topology Appl. 116 (2001) 1, 137-152 · Final version: 14 pages. Two minor corrections. To appear in Topology Appl
arxiv created 2000/05/28 · arxiv updated 2009/11/30
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).