Homological selections and fixed-point theorems

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.

arXiv commentJournal of Fixed Point Theory and Applications

References in corpus (1)

• Dense families of selections and finite-dimensional spaces

Cited by in corpus (1)

• Homogeneous metric ANR-compacta