Concerning connected, pseudocompact Abelian groups

DOI10.1016/0166-8641(89)90086-2zbMath0698.54003OpenAlexW2101933553MaRDI QIDQ912417

Jan van Mill, W. Wistar Comfort

Publication date: 1989

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(89)90086-2

zbMATH Keywords

pseudocompactnessweight\(\omega\)-bounded spacepseudocompact groupproper dense pseudocompact subgroup

Mathematics Subject Classification ID

Compact groups (22C05) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Topological methods for abelian groups (20K45)

Related Items (22)

Pseudocompact topological group refinements of maximal weight ⋮ How many \(\omega\)-bounded subgroups? ⋮ Continuity conditions for finite-dimensional representations of some locally bounded groups ⋮ CLP-compactness for topological spaces and groups ⋮ The gentle, generous giant tampering with dense subgroups of topological groups ⋮ The \(G_{\delta}\)-density nucleus of a compact abelian group ⋮ Non-abelian pseudocompact groups ⋮ On the quasi-component of pseudocompact abelian groups ⋮ The characterizations of dense-pseudocompact and dense-connected spaces ⋮ Some topological groups with, and some without, proper dense subgroups ⋮ Pseudocompact groups: Progress and problems ⋮ On the supremum of the pseudocompact group topologies ⋮ w-divisible groups ⋮ On zero-dimensionality and the connected component of locally pseudocompact groups ⋮ Zero-Dimensionality of Some Pseudocompact Groups ⋮ Extremal pseudocompact Abelian groups are compact metrizable ⋮ Forcing hereditarily separable compact-like group topologies on Abelian groups ⋮ Extremal pseudocompact topological groups ⋮ Extremal α-pseudocompact abelian groups ⋮ Cardinal numbers associated with dense pseudocompact, countably compact, and \(\omega\)-bounded subgroups ⋮ Compactness and connectedness in topological groups ⋮ Pseudocompact refinements of compact group topologies

Cites Work

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• Stone-Cech Compactifications of Products
• Sur les ensembles denses de puissance minimum dans les groupes topologiques
• Normality in Subsets of Product Spaces
• Uniform Continuity and Compactness in Topological Groups
• On the density of λ-box products
• On the density character of compact topological groups
• On cardinal numbers related with a compact abelian group

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