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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.
Date:
August 1997
Creator:
Muller, Kimberly (Kimberly Orisja)
System:
The UNT Digital Library