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List of properties of sets of reals

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This page lists some properties of sets of real numbers. The general study of these concepts forms descriptive set theory, which has a rather different emphasis from general topology.

Contents

Definability properties

  • Borel set
  • Analytic set
  • C-measurable set
  • Projective set
  • Inductive set
  • Infinity-Borel set
  • Suslin set
  • Homogeneously Suslin set
  • Weakly homogeneously Suslin set
  • Set of uniqueness
  • Regularity properties

  • Property of Baire
  • Lebesgue measurable
  • Universally measurable set
  • Perfect set property
  • Universally Baire set
  • Largeness and smallness properties

  • Meager set
  • Comeager set - A comeager set is one whose complement is meager.
  • Null set
  • Conull set
  • Dense set
  • Nowhere dense set
  • References

    List of properties of sets of reals Wikipedia


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