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Polish Spaces and Analytic Sets

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.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc277605
Date08 1900
CreatorsMuller, Kimberly (Kimberly Orisja)
ContributorsLewis, Paul Weldon, Bator, Elizabeth M., Brand, Neal E.
PublisherUniversity of North Texas
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatiii, 81 leaves, Text
RightsPublic, Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved., Muller, Kimberly (Kimberly Orisja)

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