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Returning to semi-bounded sets
Journal of Symbolic Logic 74 (2):597-617 (2009)
Abstract
An o-minimal expansion of an ordered group is called semi-bounded if there is no definable bijection between a bounded and an unbounded interval in it (equivalently, it is an expansion of the group by bounded predicates and group automorphisms). It is shown that every such structure has an elementary extensionLinks
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Citations of this work
Interpretable groups are definable.Pantelis E. Eleftheriou, Ya'acov Peterzil & Janak Ramakrishnan - 2014 - Journal of Mathematical Logic 14 (1):1450002.
Compact domination for groups definable in linear o-minimal structures.Pantelis E. Eleftheriou - 2009 - Archive for Mathematical Logic 48 (7):607-623.
Coverings by open cells.Mário J. Edmundo, Pantelis E. Eleftheriou & Luca Prelli - 2014 - Archive for Mathematical Logic 53 (3-4):307-325.
Maximal compact subgroups in the o-minimal setting.Annalisa Conversano - 2013 - Journal of Mathematical Logic 13 (1):1350004.
Non-standard lattices and o-minimal groups.Pantelis E. Eleftheriou - 2013 - Bulletin of Symbolic Logic 19 (1):56-76.
References found in this work
Definably compact Abelian groups.Mário J. Edmundo & Margarita Otero - 2004 - Journal of Mathematical Logic 4 (02):163-180.
A structure theorem for semibounded sets in the reals.Ya'acov Peterzil - 1992 - Journal of Symbolic Logic 57 (3):779-794.
Structure theorems for o-minimal expansions of groups.Mario J. Edmundo - 2000 - Annals of Pure and Applied Logic 102 (1-2):159-181.
Compact domination for groups definable in linear o-minimal structures.Pantelis E. Eleftheriou - 2009 - Archive for Mathematical Logic 48 (7):607-623.
O-minimal cohomology: Finiteness and invariance results.Alessandro Berarducci & Antongiulio Fornasiero - 2009 - Journal of Mathematical Logic 9 (2):167-182.
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