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

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 affirmativ...

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Bibliographic Details
Main Author: Simrin, Harry S.
Other Authors: Mauldin, R. Daniel
Format: Others
Language:English
Published: North Texas State University 1980
Subjects:
equivalence classes
partitions in math
topological spaces
Castaing Representation
Polish spaces
Topological spaces.
Partitions (Mathematics)
Equivalence classes (Set theory)
Online Access:https://digital.library.unt.edu/ark:/67531/metadc331157/

Internet

https://digital.library.unt.edu/ark:/67531/metadc331157/

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