English

Minimizing the number of Nielsen preimage classes

Algebraic Topology 2009-04-09 v1

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.

Keywords

Cite

@article{arxiv.0904.1411,
  title  = {Minimizing the number of Nielsen preimage classes},
  author = {Olga Frolkina},
  journal= {arXiv preprint arXiv:0904.1411},
  year   = {2009}
}

Comments

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

R2 v1 2026-06-21T12:49:36.864Z