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Almost Baire class one multi-functions

Published online by Cambridge University Press:  17 April 2009

P. Maritz
Affiliation:
Department of Mathematics, University of Stellenbosch, Stellenbosch 7600, South Africa
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Abstract

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In this paper we employ quasi-continuous multifunctions and introduce almost Baire class 1 multifunctions in order to generalize a theorem of Kuratowski and also to answer a question posed by him concerning Baire class 1 multifunctions. We also show that certain multifunctions can be decomposed into mutually singular multifunctions.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1986

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