8 citations · 26 across the 12 of their papers we have counts for
4 papers · 1 filter
Transasymptotic expansions of o-minimal germs
Jean-Philippe Rolin, Tamara Servi, Patrick Speissegger
Given an o-minimal expansion of the real ordered field, generated by a generalized quasianalytic class , we construct an explicit truncation…
On local definability of holomorphic functions
Gareth Jones, Jonathan Kirby, Olivier Le Gal +1
Given a collection A of holomorphic functions, we consider how to describe all the holomorphic functions locally definable from A. The notion of local definability of holomorphic f…
Local interdefinability of Weierstrass elliptic functions
Gareth Jones, Jonathan Kirby, Tamara Servi
We explain which Weierstrass elliptic functions are locally definable from other elliptic functions and exponentiation in the context of o-minimal structures. The proofs make use o…
Definably complete and Baire structures and Pfaffian closure
Antongiulio Fornasiero, Tamara Servi
We consider definably complete and Baire expansions of ordered fields: every definable subset of the domain of the structure has a supremum and the domain can not be written as the…