Minimizing the number of Nielsen preimage classes

Abstract

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.Comment: This is the version published by Geometry & Topology Monographs on 29 April 200