Measuring the classification difficulty of countable torsion-free Abelian groups.

DOI10.1216/rmjm/1181070022zbMath1040.20045OpenAlexW2070779925MaRDI QIDQ1414995

Greg Hjorth

Publication date: 3 December 2003

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/Vol32-4/CONT32-4/CONT32-4.html

zbMATH Keywords

classificationtorsion-free Abelian groupsBorel functions

Mathematics Subject Classification ID

Torsion-free groups, infinite rank (20K20) Torsion-free groups, finite rank (20K15) Abelian groups (20K99)

Related Items (1)

Nonclassifiability of UHF $L^p$-operator algebras

Cites Work

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• A Borel reductibility theory for classes of countable structures
• A Glimm-Effros Dichotomy for Borel Equivalence Relations
• Invariant sets in topology and logic
• The completeness of the isomorphism relation for countable Boolean algebras
• Infinite-dimensional group representations
• Invariant Borel sets
• Borel equivalence relations and classifications of countable models

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