MODNET
Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 1436

Preprint Number 1436

Previous Next Preprint server


1436. Pantelis E. Eleftheriou
Large groups are o-minimal
E-mail:

Submission date: 29 May 2018

Abstract:

Let N be an expansion of an o-minimal structure M such that every open definable set is definable in M. Assume that N admits a dimension function compatible with M. Among all definable groups, we characterize those definable in M as the ones that have maximal dimension; namely, their dimension equals the dimension of their topological closure. Our setting includes all known tame expansions N=(M,P), where P is a dense subset of M. As an application, we obtain that if P is independent, then every definable group is already definable in M.

Mathematics Subject Classification: 03C64

Keywords and phrases:

Full text arXiv 1805.11500: pdf, ps.


Last updated: June 12 2018 15:35 Please send your corrections to: