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Results tagged with descriptive-set-theory
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user 100163
Descriptive Set Theory is the study of definable subsets of Polish spaces, where definable is taken to mean from the Borel or projective hierarchies. Other topics include infinite games and determinacy, definable equivalence relations and Borel reductions between them, Polish groups, and effective descriptive set theory.
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Uniformization/measurable selection theorems
Bogachev's Measure Theory, Vol. 2 Chapter 6, section 9 is a survey of measurable selection theorems written in the 2000s. It mentions a handful of results which were published in the 80s, but nothing …
- 660
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Isometry group of a complete separable metric space is Polish?
Let $(X,d)$ be a complete separable metric space, and endow $Iso(X,d)$ with the pointwise convergence topology.
I've seen a few sources say this is clearly a Polish group, but why is this this the c …
- 660