Baire space

Noun

Meaning

Baire space (plural Baire spaces)

A topological space such that every intersection of a countable collection of open dense sets in the space is also dense.

Examples

Comparing the convergents with the approximants derived from the Babylonian method: : : : : : Properties of infinite continued fractions Baire space is a topological space on infinite sequences of natural numbers. Source: Internet

Proof The following is a standard proof that a complete pseudometric space is a Baire space. Source: Internet

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