Quasicontinuous selections of upper semicontinuous set-valued mappings

Jiling Cao and Warren B. Moors

Abstract

In this paper, we extend a theorem of Matejdes on quasicontinuous selections of
upper Baire continuous set-valued mappings from compact metric range spaces to
regular T_1 range spaces. In addition, we also prove a quasicontinuous selection
theorem for a special class of upper semicontinuous set-valued mappings.

Keywords
Quasicontinuous, Selection, Upper Baire continuous

Math Review Classification
Primary 54C60 ; Secondary 54C65, 26E25

Last Updated
11/08/04

Length
7 pages

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