Definition:Cantor Set

As a Limit of a Decreasing Sequence
These definitions are all equivalent, as shown on Equivalence of Definitions of Cantor Set.

Cantor Space
The Cantor set is usually considered as a topological subspace of the real number space under the Euclidean topology.

Also known as
Some sources refer to the Cantor set as Cantor's discontinuum.

Also see

 * Cantor Set Closed in Real Number Space
 * Cantor Set is Uncountable
 * Cantor Set has Zero Lebesgue Measure


 * Cantor Space is Compact
 * Cantor Space is Perfect
 * Cantor Space is Nowhere Dense
 * Cantor Space is Totally Disconnected
 * Cantor Space is Fractal.