Suslin's theorem

In mathematics, Suslin's theorem may refer to:

• The Quillen–Suslin theorem (formerly the Serre conjecture), due to Andrei Suslin.
• Any of several theorems about analytic sets due to Mikhail Yakovlevich Suslin; in particular:
  • There is an analytic subset of the reals that is not Borel
  • An analytic set whose complement is also analytic is a Borel set, a special case of the Lusin separation theorem
  • Any analytic set in Rⁿ is the projection of a Borel set in Rⁿ⁺¹
  • Analytic sets can be constructed using the Suslin operation

Topics referred to by the same term

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