# Cantor space

The Cantor space, denoted by $\mathbb{C}$ is the set of all infinite binary sequences with the product topology. It is a perfect Polish space. It is a compact subspace of the Baire space, the set of all infinite sequences of integers (again with the natural product topology).

Title Cantor space CantorSpace 2013-03-22 13:44:42 2013-03-22 13:44:42 mathcam (2727) mathcam (2727) 14 mathcam (2727) Definition msc 54E50