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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.