Selection and representation theorems for $\sigma$-compact valued multifunctions
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- by S. M. Srivastava PDF
- Proc. Amer. Math. Soc. 83 (1981), 775-780 Request permission
Abstract:
In this paper we give two applications of results of Shchegolkov and Saint-Raymond on Borel sets with $\sigma$-compact sections. First we give a sufficient condition under which a partition of a Polish space into $\sigma$-compact sets admits a Borel cross-section. Then a representation theorem for $\sigma$-compact valued multifunctions, expressing them as unions of continuously indexed Borel graphs, is proved.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 83 (1981), 775-780
- MSC: Primary 04A15; Secondary 04A05, 54C65, 54H05
- DOI: https://doi.org/10.1090/S0002-9939-1981-0630054-7
- MathSciNet review: 630054