The boolean prime ideal theorem holds iff maximal open filters exist
Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 43 (2002) no. 4, pp. 313-315.
@article{CTGDC_2002__43_4_313_0,
author = {Rhineghost, Y. T.},
title = {The boolean prime ideal theorem holds iff maximal open filters exist},
journal = {Cahiers de Topologie et G\'eom\'etrie Diff\'erentielle Cat\'egoriques},
pages = {313--315},
publisher = {Dunod \'editeur, publi\'e avec le concours du CNRS},
volume = {43},
number = {4},
year = {2002},
zbl = {1029.03037},
mrnumber = {1949661},
language = {en},
url = {http://www.numdam.org/item/CTGDC_2002__43_4_313_0/}
}
Rhineghost, Y. T. The boolean prime ideal theorem holds iff maximal open filters exist. Cahiers de Topologie et Géométrie Différentielle Catégoriques, Tome 43 (2002) no. 4, pp. 313-315. http://www.numdam.org/item/CTGDC_2002__43_4_313_0/

[1] H. Herrlich: The axiom of choice holds iff maximal closed filters exist. Math. Log. Quart. 49 (2003)2, to appear. | MR 1979139 | Zbl 1027.03039

[2] K. Keremedis and E. Tachtsis: On open and closed ultrafilters in topological spaces without the axiom of choice. Notes, March 2002.

[3] M. Zisis: OFE is equivalent to BPI. Preprint, March 2002.