Polish Spaces and Analytic Sets

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Description

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.

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iii, 81 leaves

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Muller, Kimberly (Kimberly Orisja) August 1997.

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This thesis is part of the collection entitled: UNT Theses and Dissertations and was provided by UNT Libraries to Digital Library, a digital repository hosted by the UNT Libraries. It has been viewed 40 times , with 4 in the last month . More information about this thesis can be viewed below.

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  • Muller, Kimberly (Kimberly Orisja)

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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.

Physical Description

iii, 81 leaves

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UNT Theses and Dissertations

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  • August 1997

Added to The UNT Digital Library

  • March 24, 2014, 8:07 p.m.

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  • July 7, 2014, 9:13 a.m.

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Citations, Rights, Re-Use

Muller, Kimberly (Kimberly Orisja). Polish Spaces and Analytic Sets, thesis, August 1997; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc277605/: accessed September 21, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .