Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem
Eric Schechter
Fundamenta Mathematicae, Tome 189 (2006), p. 285-288 / Harvested from The Polish Digital Mathematics Library
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The principle that "any product of cofinite topologies is compact" is equivalent (without appealing to the Axiom of Choice) to the Boolean Prime Ideal Theorem.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:282783 
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     journal = {Fundamenta Mathematicae},
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Eric Schechter. Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem. Fundamenta Mathematicae, Tome 189 (2006) pp. 285-288. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm189-3-5/