Cantor Space

In mathematics, a Cantor space, named for Georg Cantor, is a topological abstraction of the classical Cantor set: a topological space is a Cantor space if it is homeomorphic to the Cantor set. In set theory, the topological space 2ω is called "the" Cantor space. Note that, commonly, 2ω is referred to simply as the Cantor set, while the term Cantor space is reserved for the more general construction of DS for a finite set D and a set S which might be finite, countable or possibly uncountable.