The Baire category theorem is an important tool in general topology and functional analysis. The theorem has two forms, each of which gives sufficient conditions for a topological space to be a Baire space.
The theorem was proved by René-Louis Baire in his 1899 doctoral thesis.
Read more about Baire Category Theorem: Statement of The Theorem, Relation To The Axiom of Choice, Uses of The Theorem, Proof
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