A characterization of the Dedekind completion of a totally ordered group of infinite rank

DOI10.1016/S0019-3577(08)80025-0zbMath1184.06008OpenAlexW2091031375MaRDI QIDQ735432

E. Olivos, Herme Soto, Angélica Mansilla

Publication date: 22 October 2009

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0019-3577(08)80025-0

zbMATH Keywords

Dedekind completiontotally ordered grouprank of a group

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Ordered groups (06F15) Direct sums, direct products, etc. for abelian groups (20K25) Ordered groups (group-theoretic aspects) (20F60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (1)

Remembering W. H. Schikhof

Cites Work

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• Ein nicht-klassischer Hilbertscher Raum
• Linear homeomorphisms of non-classical Hilbert spaces
• A family of totally ordered groups with some special properties
• Extensions of Ordered Groups and Sequence Completion

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