Research Training Network in Model Theory
Publications > Preprint server > Preprint Number 89

Preprint Number 89

Previous Next Preprint server

89. Alexander Berenstein
Lovely pairs and dense pairs of O-minimal structures

Submission date: 13 October 2008. New expanded version of this paper is Preprint Nr 151, done in collaboration with E. Vassiliev.


We study the theory of Lovely pairs of thorn-rank one theories, in particular O-minimal theories. We show that the class of aleph_0-saturated dense pairs of O-minimal structures studied by van den Dries agrees with the corresponding class of lovely pairs. We also prove that the theory of lovely pairs of O-minimal structures is super-rosy of rank less than or equal to omega.

Mathematics Subject Classification: 03C64, 03C45

Keywords and phrases: O-minimality, rosy theories, lovely pairs.

Full text: pdf, dvi, ps.

Last updated: March 23 2021 10:23 Please send your corrections to: