HFD groups in the Solovay model

DOI10.1016/j.topol.2009.03.008zbMath1173.54016OpenAlexW2060161310MaRDI QIDQ1030185

Paul J. Szeptycki, Artur Hideyuki Tomita

Publication date: 1 July 2009

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

Full work available at URL: https://doi.org/10.1016/j.topol.2009.03.008

zbMATH Keywords

Topological groupSolovay modelCountably compactHereditarily finally denseNon-trivial convergent sequencesRandom real

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Topological groups (topological aspects) (54H11) Consistency and independence results (03E35) Counterexamples in general topology (54G20)

Related Items (12)

Some pseudocompact-like properties in certain topological groups ⋮ Convergent sequences in topological groups ⋮ Positive answers to Koch's problem in special cases ⋮ A van Douwen-like ZFC theorem for small powers of countably compact groups without non-trivial convergent sequences ⋮ A countably compact topological group with the non-countably pracompact square ⋮ Countably compact group topologies on arbitrarily large free abelian groups ⋮ Almost \(p\)-compact groups ⋮ On feebly compact paratopological groups ⋮ Countably compact groups without non-trivial convergent sequences ⋮ Suitable sets for paratopological groups ⋮ Forcing a classification of non-torsion abelian groups of size at most \(2^{\mathfrak{c}}\) with non-trivial convergent sequences ⋮ Finite powers of selectively pseudocompact groups

Cites Work

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• The Product of Two Countably Compact Topological Groups
• A separable normal topological group need not be Lindelöf
• Algebraic structure of small countably compact Abelian groups
• Countably compact groups from a selective ultrafilter

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