Minimizing the number of Nielsen preimage classes

Mathematics – Algebraic Topology

Scientific paper

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This is the version published by Geometry & Topology Monographs on 29 April 2008

Scientific paper

10.2140/gtm.2008.14.193

We find conditions on topological spaces X, Y and nonempty subset B of Y
which guarantee that for each continuous map f from X to Y there exists a map g
homotopic to f such that Nielsen preimage classes of g^{-1}(B) are all
topologically essential.

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