Baire category theorem

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Science and technology

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What Wikipedia says

The Baire category theorem (BCT) is an important result 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 (a topological space such that the intersection of countably many dense open sets is still dense).

Excerpt from the Wikipedia article “Baire category theorem”, under the CC BY-SA 4.0 license. Read the article on Wikipedia