Martin's axiom implies the existence of certain slender groups

DOI10.1007/BF01182396zbMath0455.20038OpenAlexW2055702617WikidataQ114694029 ScholiaQ114694029MaRDI QIDQ1150047

Rüdiger Göbel, Burkhard Wald

Publication date: 1980

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/172950

zbMATH Keywords

Martin's axiomslender groupsSpecker groupgrowth typesmonotone subgroups

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Torsion-free groups, infinite rank (20K20) Subgroups of abelian groups (20K27)

Related Items (13)

Unnamed Item ⋮ László Fuchs -- A personal evaluation of his contributions to mathematics ⋮ The affinity of set theory and abelian group theory. ⋮ Remarks about the history of Abelian groups in England and Germany. ⋮ Developments from Ernst Specker's work in set theory ⋮ Groupwise density and related cardinals ⋮ Unbounded Monotone Subgroups of the Baer–Specker Group ⋮ Consistency results about filters and the number of inequivalent growth types ⋮ \(M\)-slenderness ⋮ Abelian groups ⋮ Equivalence of Families of Functions on the Natural Numbers ⋮ The combinatorics of the Baer-Specker group ⋮ Martinaxiom und die Beschreibung gewisser Homomorphismen in der Theorie der \(\aleph_1\)-freien Abelschen Gruppen

Cites Work

• On stout and slender groups
• Verallgemeinerung eines Satzes von Herrn F. Specker
• Iterated Cohen extensions and Souslin's problem
• Abelian groups without elements of finite order
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