INSTITUTE OF MATHEMATICS · POLISH ACADEMY OF SCIENCES FUNDAMENTA MATHEMATICAE ISSN: 0016-2736(p) 1730-6329(e)

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

Eric Schechter¹
Fund. Math. 189 (2006), 285-288

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.


MSC (2000): Primary 03E25.
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1. Department of Mathematics
   Vanderbilt University
   1326 Stevenson Center
   Nashville, TN 37240, U.S.A.
   

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