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

@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 -