Definition: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.

Comments
The Cantor set is a well-known example in analysis.

It has several properties that make it interesting: it is closed, compact, uncountable, measure zero, perfect, nowhere dense, totally disconnected and fractal.