Archive for the 'MA40043' Category

Analytic proof of the Baire category theorem

Friday, January 7th, 2005

View as: view on E2  view as PDF

Formulation and proof of the Baire category theorem in analytic terms (E2 already has a game-theoretic proof!)

The Baire category theorem and cardinality

Friday, January 7th, 2005

View as: view on E2  view as PDF

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.