Cantor space

The Cantor space, denoted by is the set of all infiniteMathworldPlanetmath binary sequences with the product topology. It is a perfect Polish spaceMathworldPlanetmath. It is a compactPlanetmathPlanetmath subspaceMathworldPlanetmath of the Baire spacePlanetmathPlanetmath, the set of all infinite sequences of integers (again with the natural product topology).


Title Cantor space
Canonical name CantorSpace
Date of creation 2013-03-22 13:44:42
Last modified on 2013-03-22 13:44:42
Owner mathcam (2727)
Last modified by mathcam (2727)
Numerical id 14
Author mathcam (2727)
Entry type Definition
Classification msc 54E50