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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.
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 setThis 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.
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

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Graduate Studies in Mathematics

Mathematics Encyclopedia

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Index

Hellenica World - Scientific Library

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