A pseudocompact group which is not strongly pseudocompact

DOI10.1016/j.topol.2015.05.076zbMath1330.54045OpenAlexW574164152MaRDI QIDQ491806

Artur Hideyuki Tomita, Salvador García-Ferreira

Publication date: 19 August 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.076

zbMATH Keywords

topological groupcountably compactpseudocompactstrongly pseudocompactultrapseudocompact

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Compact groups (22C05) Subspaces in general topology (54B05)

Related Items (14)

Some pseudocompact-like properties in certain topological groups ⋮ Selectively sequentially pseudocompact group topologies on torsion and torsion-free abelian groups ⋮ Some properties involving feeble compactness. II: Generalized \(\Sigma\)-products and \(C_p\)-spaces ⋮ On powers of countably pracompact groups ⋮ Compactness properties defined by open-point games ⋮ Selectively pseudocompact groups and \(p\)-compactness ⋮ Reprint of: ``Compactness properties defined by open-point games ⋮ The selectively pseudocompact-open topology on \(C(X)\) ⋮ Selective sequential pseudocompactness ⋮ Finite powers of selectively pseudocompact groups ⋮ Selectively pseudocompact groups without infinite separable pseudocompact subsets ⋮ The impact of the Bohr topology on selective pseudocompactness ⋮ Pseudocompact Topological Groups ⋮ Pseudocompactness and Ultrafilters

Cites Work

• Groups without convergent sequences
• Countable compactness and finite powers of topological groups without convergent sequences
• Some applications of ultrafilters in topology
• Discrete subsets of topological groups
• Bounded sets in spaces and topological groups
• Stone-Čech compactification of a product
• Pseudocompactness and uniform continuity in topological groups
• The Product of Two Countably Compact Topological Groups
• A separable normal topological group need not be Lindelöf
• Zero-Dimensionality of Some Pseudocompact Groups
• On Free p‐Compact Groups
• Countably compact groups from a selective ultrafilter
• A new kind of compactness for topological spaces
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