Definition:Cantor Set

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

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

Some sources refer to this specifically as Cantor's middle third set or Cantor's ternary set.

Also defined as
Some sources define a Cantor set as any set topologically equivalent to this set.

Also see

 * Equivalence of Definitions of Cantor Set
 * Cantor Space, the Cantor set endowed with the Euclidean topology.