Cantor space
The Cantor space, denoted by 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).
References.
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Moschovakis, Yiannis N. Descriptive Set Theory. North-Holland Pub. Co. 1980, Amsterdam; New York.