English

Homological selections and fixed-point theorems

General Topology 2017-02-14 v3 Geometric Topology

Abstract

A homological selection theorem for C-spaces, as well as, a finite-dimensional homological selection theorem is established. We apply the finite-dimensional homological selection theorem to obtain fixed-point theorems for usco homologically UV^n set-valued maps.

Keywords

Cite

@article{arxiv.1605.03265,
  title  = {Homological selections and fixed-point theorems},
  author = {Vesko Valov},
  journal= {arXiv preprint arXiv:1605.03265},
  year   = {2017}
}

Comments

Journal of Fixed Point Theory and Applications

R2 v1 2026-06-22T13:58:03.309Z