The structure of definable sets and maps in dense elementary pairs of o-minimal expansions of ordered abelian groups is described. It turns out that a certain notion of "small definable set" plays a special role in this description.
@article{bwmeta1.element.bwnjournal-article-fmv157i1p61bwm,
author = {Lou van den Dries},
title = {Dense pairs of o-minimal structures},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {61-78},
zbl = {0906.03036},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv157i1p61bwm}
}
van den Dries, Lou. Dense pairs of o-minimal structures. Fundamenta Mathematicae, Tome 158 (1998) pp. 61-78. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv157i1p61bwm/
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