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Polish Spaces and Analytic SetsMuller, Kimberly (Kimberly Orisja) 08 1900 (has links)
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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A lemma on limits of analytic setsRosas, Rudy 25 September 2017 (has links)
This paper is a small remark on the analyticity of a limit of analytic sets in a particular case: when the sets are complex discs.
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