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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.
2
votes
How to characterize the Borel sets of product between finite and uncountable space?
$\newcommand{\X}{\mathcal X}\newcommand{\B}{\mathcal B}\newcommand{\CC}{\mathcal C}\newcommand{\F}{\mathcal F}\newcommand{\De}{\Delta}\newcommand{\de}{\delta}
\newcommand{\si}{\sigma}$Yes, this is tru …
2
votes
Accepted
How irregular can the set of points of non-differentiability for an L1 function's primitive ...
I realized perhaps my question is equivalent to asking for a characterization of sets $S\subseteq [a,b]$ that can not support a singular continuous measure.
Actually, here we may assume that $S$ is …