Hausdorff compactifications of completely regular spaces

Antonio Aizpuru Tomás; F. Martínez

Mathematica Slovaca (2000)

  • Volume: 50, Issue: 2, page 187-217
  • ISSN: 0232-0525

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Aizpuru Tomás, Antonio, and Martínez, F.. "Hausdorff compactifications of completely regular spaces." Mathematica Slovaca 50.2 (2000): 187-217. <http://eudml.org/doc/32390>.

@article{AizpuruTomás2000,
author = {Aizpuru Tomás, Antonio, Martínez, F.},
journal = {Mathematica Slovaca},
keywords = {ring of continuous functions; maximal ideal; ultrafilter; compactification},
language = {eng},
number = {2},
pages = {187-217},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Hausdorff compactifications of completely regular spaces},
url = {http://eudml.org/doc/32390},
volume = {50},
year = {2000},
}

TY - JOUR
AU - Aizpuru Tomás, Antonio
AU - Martínez, F.
TI - Hausdorff compactifications of completely regular spaces
JO - Mathematica Slovaca
PY - 2000
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 50
IS - 2
SP - 187
EP - 217
LA - eng
KW - ring of continuous functions; maximal ideal; ultrafilter; compactification
UR - http://eudml.org/doc/32390
ER -

References

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  1. BELLEY J. M.-LESSARD F., Une méthode generate de compactification d'un ensemble et applications aux operateurs induits par de transformations ponctuelles continues, Ann. Sci. Math. Quebec 15 (1991), 1-22. (1991) MR1106484
  2. BILES C. M., Gelfand and Wallman type compactifications, Pacific J. Math. 35 (1970), 267-273. (1970) Zbl0198.27403MR0279772
  3. FRINK O., Compactifications and semi-normal spaces, Amer. J. Math. 86 (1964), 602-607. (1964) Zbl0129.38101MR0166755
  4. GILLMAN L.-JERISON M., Rings of Continuous Functions, The University Series in Higher Mathematics, D. Van Nostrand Company, Inc., Princeton-Toronto-London-New York, 1960. (1960) Zbl0100.32202MR0116199
  5. LESSARD F., Une nouvelle méthode de constructions du compactification de Wallman et applications, Ann. Sci. Math. Quebec 16 (1992), 183-209. (1992) MR1199188
  6. MAGILL K. D., n-point compactifications, Amer. J. Monthly 72 (1965), 1075-1081. (1965) Zbl0137.16202MR0185572
  7. MAGILL K. D., Countable compactifications, Canad. J. Math. 18 (1966), 616-620. (1966) Zbl0147.41601MR0198420
  8. MONK J. D.-BONNET R., Handbook of Boolean Algebras, Vol 3, North-Holland, Amsterdam, 1989. (1989) MR0991607
  9. NAGATA J., Modern General Topology, North-Holland Math. Library 33, North Holland Amsterdam-New York-Oxford, 1985. (1985) Zbl0598.54001MR0831659
  10. REDLIN L.-WATSON, S, Structure spaces for rings of continuous functions with applications to real compactifications, Fund. Math. 152 (1997), 151-163 (1997) MR1441231
  11. STONE M. H., Applications of the theory of Boolean rings to general topology, Trans. Amer. Math. Soc. 41 (1937), 375-481. (1937) Zbl0017.13502MR1501905

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