Extremal pseudocompact Abelian groups are compact metrizable-Reference-Cited by-同舟云学术

Extremal pseudocompact Abelian groups are compact metrizable

Published:2007-08-30 Issue:12 Volume:135 Page:4039-4044
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Comfort W.,van Mill Jan

Abstract

Every pseudocompact Abelian group of uncountable weight has both a proper dense pseudocompact subgroup and a strictly finer pseudocompact group topology.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2007-135-12/S0002-9939-07-08952-6/S0002-9939-07-08952-6.pdf

Reference13 articles.

1. Extremal pseudocompact topological groups;Comfort, W. W.;J. Pure Appl. Algebra,2005

2. Proper pseudocompact subgroups of pseudocompact abelian groups;Comfort, W. W.,1994

3. Concerning connected, pseudocompact abelian groups;Comfort, W. W.;Topology Appl.,1989

4. W. W. Comfort and J. van Mill, Extremal pseudocompact Abelian groups are compact metric, Abstracts Amer. Math. Soc. 27 (2006), p. 78 (Abstract #1014-22-958).

5. W. W. Comfort and J. van Mill, Extremal pseudocompact abelian groups: A brief exposé, in preparation.

Cited by 16 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The characterizations of dense-pseudocompact and dense-connected spaces;Topology and its Applications;2023-08

2. D-independent topological groups;Topology and its Applications;2021-08

3. The G-density nucleus of a compact abelian group;Topology and its Applications;2019-06

4. The gentle, generous giant tampering with dense subgroups of topological groups;Topology and its Applications;2019-06

5. Maximal Pseudocompact Spaces;Pseudocompact Topological Spaces;2018