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Measurable Selection Theorems for Partitions of Polish Spaces into Gδ Equivalence Classes (open access)

Measurable Selection Theorems for Partitions of Polish Spaces into Gδ Equivalence Classes

Let X be a Polish space and Q a measurable partition of X into Gδ equivalence classes. In 1978, S. M. Srivastava proved the existence of a Borel cross section for Q. He asked whether more can be concluded in case each equivalence class is uncountable. This question is answered here in the affirmative. The main result of the author is a proof that shows the existence of a Castaing Representation for Q.
Date: May 1980
Creator: Simrin, Harry S.
System: The UNT Digital Library