Kelley's specialization of Tychonoff's Theorem
is equivalent to the Boolean Prime Ideal Theorem
Fundamenta Mathematicae, Tome 189 (2006) no. 3, pp. 285-288
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.
Keywords:
principle product cofinite topologies compact equivalent without appealing axiom choice boolean prime ideal theorem
Affiliations des auteurs :
Eric Schechter  1
@article{10_4064_fm189_3_5,
author = {Eric Schechter},
title = {Kelley's specialization of {Tychonoff's} {Theorem
} is equivalent to the {Boolean} {Prime} {Ideal} {Theorem}},
journal = {Fundamenta Mathematicae},
pages = {285--288},
year = {2006},
volume = {189},
number = {3},
doi = {10.4064/fm189-3-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm189-3-5/}
}
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 SP - 285 EP - 288 VL - 189 IS - 3 UR - http://geodesic.mathdoc.fr/articles/10.4064/fm189-3-5/ DO - 10.4064/fm189-3-5 LA - en ID - 10_4064_fm189_3_5 ER -
Eric Schechter. Kelley's specialization of Tychonoff's Theorem is equivalent to the Boolean Prime Ideal Theorem. Fundamenta Mathematicae, Tome 189 (2006) no. 3, pp. 285-288. doi: 10.4064/fm189-3-5
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