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paper

Homological selections and fixed-point theorems

arXiv:1605.03265 · doi:10.1007/s11784-016-0384-y

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.

Journal of Fixed Point Theory and Applications