O-minimal spectra, infinitesimal subgroups and cohomology

DOI10.2178/jsl/1203350779zbMath1131.03015arXivmath/0604186OpenAlexW2054033078MaRDI QIDQ5444693

Alessandro Berarducci

Publication date: 25 February 2008

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

Full work available at URL: https://arxiv.org/abs/math/0604186

zbMATH Keywords

Lie groupo-minimalitydefinable grouptype-definable group

Mathematics Subject Classification ID

General properties and structure of real Lie groups (22E15) Nonstandard models in mathematics (03H05) Model theory of ordered structures; o-minimality (03C64)

Related Items (8)

Sheaves on \(\mathcal T\)-topologies ⋮ Higher homotopy of groups definable in o-minimal structures ⋮ On the o-minimal LS-category ⋮ On central extensions and definably compact groups in o-minimal structures ⋮ On NIP and invariant measures ⋮ A Vietoris-Smale mapping theorem for the homotopy of hyperdefinable sets ⋮ Definability in the group of infinitesimals of a compact Lie group ⋮ Connected components of definable groups, and o-minimality. II.

Cites Work

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• La topologie du spectre réel
• Definable Compactness and Definable Subgroups of o-Minimal Groups
• TYPE-DEFINABILITY, COMPACT LIE GROUPS, AND o-MINIMALITY
• DEFINABLY COMPACT ABELIAN GROUPS
• A remark on divisibility of definable groups
• Linear groups definable in o-minimal structures

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