Analytic proof of the Baire category theorem
Friday, January 7th, 2005
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Formulation and proof of the Baire category theorem in analytic terms (E2 already has a game-theoretic proof!)
Archive for the 'MA40043' Category
The Baire category theorem and cardinality
Friday, January 7th, 2005
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Application of the Baire category theorem to something more interesting than functional analysis- cardinality. Demonstrates the uncountability of the reals, and the incompleteness of the rationals.
