Suslin Set - Properties of Suslin Sets

Properties of Suslin Sets

  • Every Borel set is a Suslin set.
  • The collection of all Suslin sets is closed under countable unions and countable intersection.
  • Not all Suslin sets are Borel sets (in non-trivial metric spaces such as ).
  • If A is a subset of a Polish space then A is a Suslin set if and only if it is an analytic set.
  • In a Polish space, any Suslin set is universally measurable.

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