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

Eric Schechter. "Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem." Fundamenta Mathematicae 189.3 (2006): 285-288. <http://eudml.org/doc/282783>.

@article{EricSchechter2006,
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.},
author = {Eric Schechter},
journal = {Fundamenta Mathematicae},
keywords = {axiom of choice; Boolean prime ideal theorem; product topology; Tikhonov theorem; universal net; ultrafilter; cofinite topology},
language = {eng},
number = {3},
pages = {285-288},
title = {Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem},
url = {http://eudml.org/doc/282783},
volume = {189},
year = {2006},
}

TY - JOUR
AU - Eric Schechter
TI - Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem
JO - Fundamenta Mathematicae
PY - 2006
VL - 189
IS - 3
SP - 285
EP - 288
AB - 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.
LA - eng
KW - axiom of choice; Boolean prime ideal theorem; product topology; Tikhonov theorem; universal net; ultrafilter; cofinite topology
UR - http://eudml.org/doc/282783
ER -