Proper Pseudocompact Extensions of Compact Abelian Group Topologies

DOI10.2307/2044421zbMath0508.22002OpenAlexW4246026683MaRDI QIDQ4746005

Lewis C. Robertson, W. Wistar Comfort

Publication date: 1982

Full work available at URL: https://doi.org/10.2307/2044421

zbMATH Keywords

weighttopological Galois theorytotally disconnected groupscompact Abelian groupuncountablesmall dense subgroupsstrictly finer pseudocompact topological group topology

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Compact groups (22C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25)

Related Items (18)

On countably compact topologies on compact groups and on dyadic compacta ⋮ Pseudocompact topological group refinements of maximal weight ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ Pseudocompact refinements of compact ring topologies ⋮ The \(G_{\delta}\)-density nucleus of a compact abelian group ⋮ Non-abelian pseudocompact groups ⋮ The characterizations of dense-pseudocompact and dense-connected spaces ⋮ On closed subgroups of precompact groups ⋮ Some topological groups with, and some without, proper dense subgroups ⋮ Long chains of topological group topologies. --- A continuation ⋮ Pseudocompact groups: Progress and problems ⋮ Dense minimal pseudocompact subgroups of compact Abelian groups ⋮ Extremal pseudocompact Abelian groups are compact metrizable ⋮ Extremal α-pseudocompact abelian groups ⋮ Refining connected topological group topologies on Abelian torsion groups ⋮ Extending ring topologies ⋮ Pseudocompact refinements of compact group topologies ⋮ Mackey groups and Mackey topologies

Cites Work

• Unnamed Item
• Unnamed Item
• Cardinality constraints for pseudocompact and for totally dense subgroups of compact topological groups
• Pseudocompact group topologies and totally dense subgroups
• Topological groups which satisfy an open mapping theorem
• Cohomology of Galois extensions
• Pseudocompact groups
• Extensions of Haar measure and of harmonic analysis for locally compact Abelian groups
• Topologies in locally compact groups
• Minimal topological groups
• Pseudocompactness and uniform continuity in topological groups
• Closed subgroups of locally compact Abelian groups
• Topologies induced by groups of characters
• Pseudocompact Spaces
• Locally Compact Topologies for Groups
• Galois theory for general extension fields.
• Dense Subgroups of Compact Groups

This page was built for publication: Proper Pseudocompact Extensions of Compact Abelian Group Topologies