@article{9148f3566ffd4f1fb53c73365fbb2c81,
title = "Distal and non-distal pairs",
abstract = "The aim of this note is to determine whether certain non-o-minimal expansions of o-minimal theories which are known to be NIP, are also distal. We observe that while tame pairs of o-minimal structures and the real field with a discrete multiplicative subgroup have distal theories, dense pairs of o-minimal structures and related examples do not.",
keywords = "Distal, Expansions of o-minimal structures, NIP",
author = "Philipp Hieronymi and Travis Nell",
note = "Funding Information: We thank Pierre Simon and the anonymous referee for very helpful comments. We also thank Danul Gunatilleka, Tim Mercure, Richard Rast, Douglas Ulrich, and in particular Allen Gehret for reading an earlier version of this paper and providing us with excellent feedback. The first authorwas partially supported by NSF grant DMS-1300402. Publisher Copyright: {\textcopyright} 2017, Association for Symbolic Logic.",
year = "2017",
month = mar,
day = "1",
doi = "10.1017/jsl.2016.28",
language = "English (US)",
volume = "82",
pages = "375--383",
journal = "Journal of Symbolic Logic",
issn = "0022-4812",
publisher = "Association for Symbolic Logic",
number = "1",
}