Product cones in dense pairs

DOI10.1002/malq.202100028zbMath1521.03098arXiv1708.03894OpenAlexW4206922756MaRDI QIDQ6094152

Pantelis E. Eleftheriou

Publication date: 12 September 2023

Published in: Mathematical Logic Quarterly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03894

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64)

Cites Work

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• Expansions of o-minimal structures by dense independent sets
• Linear o-minimal structures
• Structure theorems for o-minimal expansions of groups
• Structure theorems in tame expansions of o-minimal structures by a dense set
• Thorn independence in the field of real numbers with a small multiplicative group
• Expansions of subfields of the real field by a discrete set
• Local analysis for semi-bounded groups
• The model theory of the field of reals with a subgroup of the unit circle
• Structures having o-minimal open core
• A structure theorem for semibounded sets in the reals
• Expansions which introduce no new open sets
• Groups definable in ordered vector spaces over ordered division rings
• THE FIELDS OF REAL AND COMPLEX NUMBERS WITH A SMALL MULTIPLICATIVE GROUP

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