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.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc331157 |
| Date | 05 1900 |
| Creators | Simrin, Harry S. |
| Contributors | Mauldin, R. Daniel, Neuberger, John W., Kallman, Robert R., Allen, John Ed, 1937- |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 86 leaves : ill., Text |
| Rights | Public, Simrin, Harry S., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved. |
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