A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues

W. W. Comfort

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Displaying similar documents to “A theorem of Stone-Čech type, and a theorem of Tychonoff type, without the axiom of choice; and their realcompact analogues”

Choice principles in elementary topology and analysis

Horst Herrlich (1997)

Commentationes Mathematicae Universitatis Carolinae

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Many fundamental mathematical results fail in , i.e., in Zermelo-Fraenkel set theory without the Axiom of Choice. This article surveys results — old and new — that specify how much “choice” is needed to validate each of certain basic analytical and topological results.