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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

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

Simrin, Harry S. 05 1900 (has links)
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.
equivalence classes
partitions in math
topological spaces
Castaing Representation
Polish spaces
Topological spaces.
Partitions (Mathematics)
Equivalence classes (Set theory)

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