Coverings by open cells

DOI10.1007/s00153-014-0367-xzbMath1325.03038arXiv1303.3155OpenAlexW2041614410WikidataQ58017473 ScholiaQ58017473MaRDI QIDQ2449853

Pantelis E. Eleftheriou, Mário J. Edmundo, Luca Prelli

Publication date: 12 May 2014

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

Full work available at URL: https://arxiv.org/abs/1303.3155

zbMATH Keywords

ordered groupso-minimalitysemi-bounded structures, open cells

Mathematics Subject Classification ID

Ordered groups (06F15) Model theory of ordered structures; o-minimality (03C64)

Related Items (3)

SCE-cell decomposition and OCP in weakly o-minimal structures ⋮ Semilinear stars are contractible ⋮ CE-cell decomposition and open cell property in o-minimal structures

Cites Work

• Unnamed Item
• The universal covering map in o-minimal expansions of groups
• Definable open sets as finite unions of definable open cells
• Linear o-minimal structures
• Definable groups as homomorphic images of semi-linear and field-definable groups
• Definable quotients of locally definable groups
• Structure theorems for o-minimal expansions of groups
• Between groups and rings
• Local analysis for semi-bounded groups
• Returning to semi-bounded sets
• Definable group extensions in semi-bounded o-minimal structures
• A trichotomy theorem for o-minimal structures
• Additive reducts of real closed fields
• A structure theorem for semibounded sets in the reals
• Groups definable in ordered vector spaces over ordered division rings

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