Quasi continuous selections of upper Baire continuous mappings

Authors

  • Milan Matejdes Department of Mathematics, Faculty of Applied Informatics, Tomas Bata University in Zlín, Nad Stráněmi, 4511, 760 05 Zlín, Czech Republic Author

Keywords:

Quasi-continuity, Baire continuity, usco multifunction, minimal multifunction, selection, cluster point, cluster multifunction

Subjects:

54C60, 54C65, 26E25

Abstract

The paper deals with the existence problem of selectionsfor a closed valued and c-upper Baire continuous multifunction F.The main goal is to find a minimal usco multifunction intersecting Fand its selection that is quasi continuous everywhere except at pointsof a nowhere dense set. The methods are based on properties of minimalmultifunctions and a cluster multifunction generated by acluster process with respect to the system of all sets of second category with the Baire property.

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Published

2010-01-15

Issue

Vol. 62 No. 1 (2010): Vol. 62, Issue 1

Section

Articles

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Copyright (c) 2010 Authors retain copyright to their work.

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This work is licensed under a Creative Commons Attribution 4.0 International License.