Cellular covers of ℵ1-free abelian groups

DOI10.1142/S021949881550139XzbMath1375.20059MaRDI QIDQ2949751

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Publication date: 2 October 2015

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

free abelian groupcellular covercotorsion-freeco-localization\(\aleph_{1}\)-free group

Mathematics Subject Classification ID

Associative rings of functions, subdirect products, sheaves of rings (16S60) Automorphisms and endomorphisms (16W20) Localization and completion in homotopy theory (55P60) Torsion-free groups, infinite rank (20K20) Automorphisms, homomorphisms, endomorphisms, etc. for abelian groups (20K30)

Related Items (2)

Torsion homology and cellular approximation ⋮ Rigid ℵ1-Free Abelian Groups with Prescribed Factors and Their Role in the Theory of Cellular Covers

Cites Work

• Unnamed Item
• Abelian group extensions and the axiom of constructibility
• Cellular covers of groups
• Co-local subgroups of Abelian groups. II.
• Cellular covers of Abelian groups.
• Localizations of torsion-free Abelian groups.
• Cellular spaces, null spaces and homotopy localization
• On kernels of cellular covers
• A connection between cellularization for groups and spaces via two-complexes
• Cellular covers of cotorsion-free modules
• Homotopical localizations of spaces

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