Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem

Volume 189 / 2006

Eric Schechter Fundamenta Mathematicae 189 (2006), 285-288 MSC: Primary 03E25. DOI: 10.4064/fm189-3-5

Abstract

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.

Authors

  • Eric SchechterDepartment of Mathematics
    Vanderbilt University
    1326 Stevenson Center
    Nashville, TN 37240, U.S.A.
    e-mail

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