We study first-order expansions of ordered fields that are definably complete, and moreover either are locally o-minimal, or have a locally o-minimal open core. We give a characterisation of structures with locally o-minimal open core, and we show that dense elementary pairs of locally o-minimal structures have locally o-minimal open core.

Locally o-minimal structures and structures with locally o-minimal open core / Fornasiero, Antongiulio. - In: ANNALS OF PURE AND APPLIED LOGIC. - ISSN 0168-0072. - STAMPA. - 164:(2013), pp. 211-229. [10.1016/j.apal.2012.10.002]

Locally o-minimal structures and structures with locally o-minimal open core

Fornasiero, Antongiulio
2013

Abstract

We study first-order expansions of ordered fields that are definably complete, and moreover either are locally o-minimal, or have a locally o-minimal open core. We give a characterisation of structures with locally o-minimal open core, and we show that dense elementary pairs of locally o-minimal structures have locally o-minimal open core.
2013
164
211
229
Fornasiero, Antongiulio
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1108490
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