2 papers
math.LO2021
Pathological examples of structures with o-minimal open core
Alexi Block Gorman, Erin Caulfield, Philipp Hieronymi
This paper answers several open questions around structures with o-minimal open core. We construct an expansion of an o-minimal structure by a unary predicate such th…
math.LO2018
Pairs of Theories Satisfying a Mordell-Lang Condition
Alexi Block Gorman, Philipp Hieronymi, Elliot Kaplan
This paper proposes a new setup for studying pairs of structures. This new framework includes many of the previously studied classes of pairs, such as dense pairs of o-minimal stru…