Suslin cardinal

Transfinite cardinal number at which one obtains new Suslin sets

In mathematics, a cardinal λ < Θ is a Suslin cardinal if there exists a set P ⊂ 2ω such that P is λ-Suslin but P is not λ'-Suslin for any λ' < λ. It is named after the Russian mathematician Mikhail Yakovlevich Suslin (1894–1919).[1]

See also

  • Suslin representation
  • Suslin line
  • AD+

References

  1. ^ Akihiro Kanamori, Tenenbaum and Set theory (PDF), p. 2
  • Howard Becker, The restriction of a Borel equivalence relation to a sparse set, Arch. Math. Logic 42, 335–347 (2003), doi:10.1007/s001530200142


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