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Baire category theorem


 

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.

Related Topics:
General topology - Functional analysis - Sufficient condition - Topological space - Baire space

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Baire category theorem: Statement of the theorem ►

~ Table of Content ~

►Introduction
►Statement of the theorem
►Relation to AC
►Uses of the theorem
►References

 

 

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