Extremal pseudocompact Abelian groups: A unified treatment

William Wistar Comfort; Jan van Mill

Commentationes Mathematicae Universitatis Carolinae (2013)

  • Volume: 54, Issue: 2, page 197-217
  • ISSN: 0010-2628

Abstract

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The authors have shown [Proc. Amer. Math. Soc. 135 (2007), 4039--4044] that every nonmetrizable, pseudocompact abelian group has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology. Here they give a comprehensive, direct and self-contained proof of this result.

How to cite

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Comfort, William Wistar, and van Mill, Jan. "Extremal pseudocompact Abelian groups: A unified treatment." Commentationes Mathematicae Universitatis Carolinae 54.2 (2013): 197-217. <http://eudml.org/doc/252484>.

@article{Comfort2013,
abstract = {The authors have shown [Proc. Amer. Math. Soc. 135 (2007), 4039--4044] that every nonmetrizable, pseudocompact abelian group has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology. Here they give a comprehensive, direct and self-contained proof of this result.},
author = {Comfort, William Wistar, van Mill, Jan},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {pseudocompact topological group; extremal topological group; proper dense pseudocompact subgroup; abelian; pseudocompact topological group; extremal topological group; proper dense pseudocompact subgroup},
language = {eng},
number = {2},
pages = {197-217},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Extremal pseudocompact Abelian groups: A unified treatment},
url = {http://eudml.org/doc/252484},
volume = {54},
year = {2013},
}

TY - JOUR
AU - Comfort, William Wistar
AU - van Mill, Jan
TI - Extremal pseudocompact Abelian groups: A unified treatment
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2013
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 54
IS - 2
SP - 197
EP - 217
AB - The authors have shown [Proc. Amer. Math. Soc. 135 (2007), 4039--4044] that every nonmetrizable, pseudocompact abelian group has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology. Here they give a comprehensive, direct and self-contained proof of this result.
LA - eng
KW - pseudocompact topological group; extremal topological group; proper dense pseudocompact subgroup; abelian; pseudocompact topological group; extremal topological group; proper dense pseudocompact subgroup
UR - http://eudml.org/doc/252484
ER -

References

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