List of properties of sets of reals

Short description: Wikipedia list article

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 set

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