7 citations · 7 across the 2 of their papers we have counts for
3 papers
math.LO2015
Structure theorems in tame expansions of o-minimal structures by a dense set
Pantelis E. Eleftheriou, Ayhan Günaydin, Philipp Hieronymi
We study sets and groups definable in tame expansions of o-minimal structures. Let be an expansion of an o-minimal $\mathcal…
math.LO2010
Dependent Pairs
Ayhan Günaydin, Philipp Hieronymi
We prove that certain pairs of ordered structures are dependent. Among these structures are dense and tame pairs of o-minimal structures and further the real field with a multiplic…
math.LO2009★ 7 cited
The real field with the rational points of an elliptic curve
Ayhan Gunaydin, Philipp Hieronymi
We consider the expansion of the real field by the group of rational points of an elliptic curve over the rational numbers. We prove a completeness result, followed by a quantifier…