Selection theorems for 𝐺_{𝛿}-valued multifunctions

Srivastava, S. M.

doi:10.1090/S0002-9947-1979-0539919-3

Selection theorems for $G_{\delta }$-valued multifunctions
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by S. M. Srivastava

Trans. Amer. Math. Soc. 254 (1979), 283-293

DOI: https://doi.org/10.1090/S0002-9947-1979-0539919-3

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Abstract:

In this paper we establish under suitable conditions the existence of measurable selectors for ${G_\delta }$-valued multifunctions. In particular we prove that a measurable partition of a Polish space into ${G_\delta }$ sets admits a Borel selector.

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