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March 2013 Non-standard lattices and o-minimal groups
Pantelis E. Eleftheriou
Bull. Symbolic Logic 19(1): 56-76 (March 2013). DOI: 10.2178/bsl.1901020

Abstract

We describe a recent program from the study of definable groups in certain o-minimal structures. A central notion of this program is that of a (geometric) lattice. We propose a definition of a lattice in an arbitrary first-order structure. We then use it to describe, uniformly, various structure theorems for o-minimal groups, each time recovering a lattice that captures some significant invariant of the group at hand. The analysis first goes through a local level, where a pertinent notion of pregeometry and generic elements is each time introduced.

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Pantelis E. Eleftheriou. "Non-standard lattices and o-minimal groups." Bull. Symbolic Logic 19 (1) 56 - 76, March 2013. https://doi.org/10.2178/bsl.1901020

Information

Published: March 2013
First available in Project Euclid: 16 May 2013

zbMATH: 1301.03036
MathSciNet: MR3087401
Digital Object Identifier: 10.2178/bsl.1901020

Subjects:
Primary: 03C64, 03C68

Rights: Copyright © 2013 Association for Symbolic Logic

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Vol.19 • No. 1 • March 2013
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