Martinaxiom und die Beschreibung gewisser Homomorphismen in der Theorie der \(\aleph_1\)-freien Abelschen Gruppen

DOI10.1007/BF01169592zbMath0518.20052MaRDI QIDQ1053802

Burkhard Wald

Publication date: 1983

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154940

zbMATH Keywords

Martin's axiomreduced productsCartesian products of Abelian groups

Mathematics Subject Classification ID

Consistency and independence results (03E35) Continuum hypothesis and Martin's axiom (03E50) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30) Direct sums, direct products, etc. for abelian groups (20K25)

Related Items (4)

Group radicals and strongly compact cardinals ⋮ Abelian groups ⋮ Boolean powers of abelian groups ⋮ Singly cogenerated annihilator classes

Cites Work

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• Martin's axiom implies the existence of certain slender groups
• Iterated Cohen extensions and Souslin's problem
• Abelian groups without elements of finite order
• On groups of functions defined on Boolean algebras
• Internal cohen extensions

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