List of properties of sets of reals

This article 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