One Lie group to define them all
Abstract
We produce a connected real Lie group that, as a first order structure in the group language, interprets the real field expanded with a predicate for the integers. Moreover, the domain of our interpretation is definable in the group.
- Publication:
-
arXiv e-prints
- Pub Date:
- October 2020
- DOI:
- 10.48550/arXiv.2010.10579
- arXiv:
- arXiv:2010.10579
- Bibcode:
- 2020arXiv201010579C
- Keywords:
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- Mathematics - Logic;
- Mathematics - Group Theory
- E-Print:
- To appear in Notre Dame Journal of Formal Logic