Extremal pseudocompact Abelian groups: A unified treatment
Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 2, pp. 197-217
Voir la notice de l'article provenant de la source Czech Digital Mathematics Library
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.
Classification :
22A05, 22B05
Keywords: pseudocompact topological group; extremal topological group; proper dense pseudocompact subgroup; abelian
Keywords: pseudocompact topological group; extremal topological group; proper dense pseudocompact subgroup; abelian
@article{CMUC_2013__54_2_a6,
author = {Comfort, W. W. and van Mill, Jan},
title = {Extremal pseudocompact {Abelian} groups: {A} unified treatment},
journal = {Commentationes Mathematicae Universitatis Carolinae},
pages = {197--217},
publisher = {mathdoc},
volume = {54},
number = {2},
year = {2013},
mrnumber = {3067704},
zbl = {06221263},
language = {en},
url = {http://geodesic.mathdoc.fr/item/CMUC_2013__54_2_a6/}
}
TY - JOUR AU - Comfort, W. W. AU - van Mill, Jan TI - Extremal pseudocompact Abelian groups: A unified treatment JO - Commentationes Mathematicae Universitatis Carolinae PY - 2013 SP - 197 EP - 217 VL - 54 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/CMUC_2013__54_2_a6/ LA - en ID - CMUC_2013__54_2_a6 ER -
Comfort, W. W.; van Mill, Jan. Extremal pseudocompact Abelian groups: A unified treatment. Commentationes Mathematicae Universitatis Carolinae, Tome 54 (2013) no. 2, pp. 197-217. http://geodesic.mathdoc.fr/item/CMUC_2013__54_2_a6/