11 citations · 49 across the 21 of their papers we have counts for
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A tetrachotomy for expansions of the real ordered additive group
Philipp Hieronymi, Erik Walsberg
Let be an expansion of the ordered real additive group. When is o-minimal, it is known that either defines an ordered field isomorphic to…
The Choice Property in tame expansions of o-minimal structures
Pantelis E. Eleftheriou, Ayhan Günaydın, Philipp Hieronymi
We establish the choice property, a weak analogue of definable choice, for certain tame expansions of o-minimal structures. Most noteworthily, dense pairs of real closed fields hav…
Wild theories with o-minimal open core
Philipp Hieronymi, Travis Nell, Erik Walsberg
Let be a consistent o-minimal theory extending the theory of densely ordered groups and let be a consistent theory. Then there is a complete theory extending suc…
Definability and decidability in expansions by generalized Cantor sets
William Balderrama, Philipp Hieronymi
We determine the sets definable in expansions of the ordered real additive group by generalized Cantor sets. Given a natural number , we say a set is a generalized Can…