A Polish space is a separable topological space that can be metrized by means
of a complete metric. A subset A of a Polish space X is analytic if there is a Polish
space Z and a continuous function f : Z —> X such that f(Z)= A. After proving that
each uncountable Polish space contains a non-Borel analytic subset we conclude that there exists a universally measurable non-Borel set.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc277605 |
| Date | 08 1900 |
| Creators | Muller, Kimberly (Kimberly Orisja) |
| Contributors | Lewis, Paul Weldon, Bator, Elizabeth M., Brand, Neal E. |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 81 leaves, Text |
| Rights | Public, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Muller, Kimberly (Kimberly Orisja) |
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