Cantor space
The Cantor space, denoted by $\u2102$ 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).

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Moschovakis, Yiannis N. Descriptive Set Theory. NorthHolland Pub. Co. 1980, Amsterdam; New York.
Title  Cantor space 

Canonical name  CantorSpace 
Date of creation  20130322 13:44:42 
Last modified on  20130322 13:44:42 
Owner  mathcam (2727) 
Last modified by  mathcam (2727) 
Numerical id  14 
Author  mathcam (2727) 
Entry type  Definition 
Classification  msc 54E50 