A Lefschetz type coincidence theorem

Details A Lefschetz type coincidence theorem A Lefschetz type coincidence theorem

1998-06-04

arxiv.org/abs/math/9806021v2

Fundamenta Mathematicae, 162 (1999)1-2, 65-89

Mathematics

Algebraic Topology

The final version, 23 pages, to appear in Fund. Math

Scientific paper

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.

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