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


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.


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

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image