The boolean prime ideal theorem holds iff maximal open filters exist

Y. T. Rhineghost

Cahiers de Topologie et Géométrie Différentielle Catégoriques (2002)

  • Volume: 43, Issue: 4, page 313-315
  • ISSN: 1245-530X

How to cite

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Rhineghost, Y. T.. "The boolean prime ideal theorem holds iff maximal open filters exist." Cahiers de Topologie et Géométrie Différentielle Catégoriques 43.4 (2002): 313-315. <http://eudml.org/doc/91663>.

@article{Rhineghost2002,
author = {Rhineghost, Y. T.},
journal = {Cahiers de Topologie et Géométrie Différentielle Catégoriques},
language = {eng},
number = {4},
pages = {313-315},
publisher = {Dunod éditeur, publié avec le concours du CNRS},
title = {The boolean prime ideal theorem holds iff maximal open filters exist},
url = {http://eudml.org/doc/91663},
volume = {43},
year = {2002},
}

TY - JOUR
AU - Rhineghost, Y. T.
TI - The boolean prime ideal theorem holds iff maximal open filters exist
JO - Cahiers de Topologie et Géométrie Différentielle Catégoriques
PY - 2002
PB - Dunod éditeur, publié avec le concours du CNRS
VL - 43
IS - 4
SP - 313
EP - 315
LA - eng
UR - http://eudml.org/doc/91663
ER -

References

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  1. [1] H. Herrlich: The axiom of choice holds iff maximal closed filters exist. Math. Log. Quart.49 (2003)2, to appear. Zbl1027.03039MR1979139
  2. [2] K. Keremedis and E. Tachtsis: On open and closed ultrafilters in topological spaces without the axiom of choice. Notes, March 2002. 
  3. [3] M. Zisis: OFE is equivalent toBPI. Preprint, March 2002. 

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