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Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions

Peter Saveliev
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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).

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Peter Saveliev. 2000-05-28. Lefschetz Coincidence Theory for Maps Between Spaces of Different Dimensions. https://arxiv.org/abs/math/9909028

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