On connections between some selection and approximation results for multivalued maps☆

This paper is dedicated to Professor Ernest Michael on the occasion of his jubilee.
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Abstract

We study the general conditions on a family of values of a multivalued map under which the existence of single-valued approximations may be derived from continuous selection results.

MSC

54C65
54C60

Keywords

Multivalued map
Continuous selection
Single-valued approximation
Regular operation
Michael system

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☆

The work is partially supported by the Russian FBR Grants No. 05-01-00100, 04-01-00081 and NATO Grant ICS.NR.CLG 981757.

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