Definition:Baire Space (Set Theory)
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Definition
The Baire space is defined as the set of all infinite sequences of natural numbers.
It can also be defined as the Cartesian product of a countably infinite number of copies of the set of natural numbers.
It can be denoted $\mathbf B$, $\N^\N$ or (as used by Yiannis Moschovakis) $\mathcal N$.
Source of Name
This entry was named for René-Louis Baire.
