Displaying similar documents to “The Tychonoff product theorem implies the axiom of choice”

Is the product of ccc spaces a ccc space?

Nina M. Roy (1989)

Publicacions Matemàtiques

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In this expository paper it is shown that Martin's Axiom and the negation of the Continuum Hypothesis imply that the product of ccc spaces is a ccc space. The Continuum Hypothesis is then used to construct the Laver-Gavin example of two ccc spaces whose product is not a ccc space.

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.