On a Theorem of Holický and Zelený Concerning Borel Maps Without sigma-Compact Fibers

Authors: Milewski P.1; Pol R.2

Source: Czechoslovak Mathematical Journal, Volume 53, Number 3, September 2003 , pp. 535-543(9)

Publisher: Springer

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Abstract:

The paper is concerned with a recent very interesting theorem obtained by Holický and Zelený. We provide an alternative proof avoiding games used by Holický and Zelený and give some generalizations to the case of set-valued mappings.

Keywords: Borel maps; sigma-compact sections; set-valued maps

Document Type: Research article

DOI: 10.1023/B:CMAJ.0000024501.72894.0b

Affiliations: 1: Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland, Email: pamil@mimuw.edu.pl 2: Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland, Email: pol@mimuw.edu.pl

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