INTERPRETABLE SETS IN DENSE O-MINIMAL STRUCTURES

DOI10.1017/JSL.2018.50zbMath1430.03056arXiv1911.10077OpenAlexW3106065350WikidataQ128716101 ScholiaQ128716101MaRDI QIDQ4647107

Will Johnson

Publication date: 4 January 2019

Published in: The Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.10077

zbMATH Keywords

o-minimalityHausdorff topologydefinable topologyinterpretable setlocally Euclidean topology

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Dimension theory in general topology (54F45) Ordered topological structures (06F30) Model theory of ordered structures; o-minimality (03C64)

Related Items (4)

ON NON-COMPACT p-ADIC DEFINABLE GROUPS ⋮ A note on fsg$\text{fsg}$ groups in p‐adically closed fields ⋮ Topologizing interpretable groups in \(p\)-adically closed fields ⋮ Directed sets and topological spaces definable in o‐minimal structures

Cites Work

• Unnamed Item
• \(p\)-adic and real subanalytic sets
• Constructing a group-interval in \(O\)-minimal structures
• Interpretable groups are definable
• Definable Compactness and Definable Subgroups of o-Minimal Groups
• Euler characteristic of imaginaries in o‐minimal structures

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