On kernels of cellular covers

DOI10.4171/GGD/20zbMath1139.55006arXivmath/0702294OpenAlexW2038821094MaRDI QIDQ2469767

Rüdiger Göbel, Emmanuel Dror Farjoun, Saharon Shelah, Yoav Segev

Publication date: 7 February 2008

Published in: Groups, Geometry, and Dynamics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0702294

zbMATH Keywords

free abelian groupinfinite cardinalcellular cover

Mathematics Subject Classification ID

Localization and completion in homotopy theory (55P60) Torsion-free groups, infinite rank (20K20) Extensions of abelian groups (20K35)

Related Items (12)

Group varieties not closed under cellular covers and localizations ⋮ Torsion homology and cellular approximation ⋮ Cellular covers of ℵ₁-free abelian groups ⋮ Rigid ℵ1-Free Abelian Groups with Prescribed Factors and Their Role in the Theory of Cellular Covers ⋮ Generators and closed classes of groups ⋮ Cellular covers of totally ordered abelian groups ⋮ Colocalizations and dualities for modules and Abelian groups. ⋮ On cellular covers with free kernels. ⋮ The cellular structure of the classifying spaces of finite groups ⋮ Properties of cellular classes of chain complexes ⋮ On localizations of quasi-simple groups with given countable center ⋮ The \(A\)-core and \(A\)-cover of a group.

Cites Work

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• Duality in algebra and topology
• Co-local subgroups of Abelian groups. II.
• Ohkawa’s theorem: There is a set of Bousfield classes

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