Relations between minimal usco and minimal cusco maps

  • Ľubica Holá

    Academy of Sciences, Bratislava, Slovak Republic
  • Dušan Holý

    Trnavská univerzita v Trnave, Trnava, Slovak Republic

Abstract

In our paper we give a characterization of (set-valued) maps which are minimal usco and minimal cusco simultaneously. Let be a topological space and be a Banach space. We show that there is a bijection between the space of minimal usco maps from to and the space of minimal cusco maps from to , and we study this bijection with respect to various topologies on underlying spaces. Let be a Baire space and be a Banach space. Then and are homeomorphic, where is the topology of uniform convergence.

Cite this article

Ľubica Holá, Dušan Holý, Relations between minimal usco and minimal cusco maps. Port. Math. 70 (2013), no. 3, pp. 211–224

DOI 10.4171/PM/1931