Almost * realcompactness

John J. Schommer; Mary Anne Swardson

Commentationes Mathematicae Universitatis Carolinae (2001)

  • Volume: 42, Issue: 2, page 385-394
  • ISSN: 0010-2628

Abstract

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We provide a new generalization of realcompactness based on ultrafilters of cozero sets and contrast it with almost realcompactness.

How to cite

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Schommer, John J., and Swardson, Mary Anne. "Almost$^*$ realcompactness." Commentationes Mathematicae Universitatis Carolinae 42.2 (2001): 385-394. <http://eudml.org/doc/248785>.

@article{Schommer2001,
abstract = {We provide a new generalization of realcompactness based on ultrafilters of cozero sets and contrast it with almost realcompactness.},
author = {Schommer, John J., Swardson, Mary Anne},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {almost realcompact; almost$^*$ realcompact; almost weak Oz; super countably paracompact; rc=s; almost realcompact; almost weak Oz; super countably paracompact},
language = {eng},
number = {2},
pages = {385-394},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Almost$^*$ realcompactness},
url = {http://eudml.org/doc/248785},
volume = {42},
year = {2001},
}

TY - JOUR
AU - Schommer, John J.
AU - Swardson, Mary Anne
TI - Almost$^*$ realcompactness
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2001
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 42
IS - 2
SP - 385
EP - 394
AB - We provide a new generalization of realcompactness based on ultrafilters of cozero sets and contrast it with almost realcompactness.
LA - eng
KW - almost realcompact; almost$^*$ realcompact; almost weak Oz; super countably paracompact; rc=s; almost realcompact; almost weak Oz; super countably paracompact
UR - http://eudml.org/doc/248785
ER -

References

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  15. Weir M., Hewitt-Nachbin Spaces, North Holland Math. Studies American Elsevier New York (1975). (1975) Zbl0314.54002MR0514909

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