Margaret E. M. Thomas

most citedOne-dimensional definable topological spaces in o-minimal structures

1 citations · 1 across the 1 of their papers we have counts for

collaborators

3 papers

math.LO2023★ 1 cited

One-dimensional definable topological spaces in o-minimal structures

Pablo Andújar Guerrero, Margaret E. M. Thomas

We study the properties of topological spaces $(X, τ)$ , where $X$ is a definable set in an o-minimal structure and the topology $τ$ on $X$ has a basis that is (uniformly) definable.…

math.NT2023

An effective Pila-Wilkie theorem for sets definable using Pfaffian functions, with some diophantine applications

Gal Binyamini, Gareth O. Jones, Harry Schmidt +1

We prove an effective version of the Pila-Wilkie Theorem for sets definable using Pfaffian functions, providing effective estimates for the number of algebraic points of bounded he…

math.LO2018

Effective Pila--Wilkie bounds for unrestricted Pfaffian surfaces

Gareth O. Jones, Margaret E. M. Thomas

We prove effective Pila--Wilkie estimates for the number of rational points of bounded height lying on certain surfaces defined by Pfaffian functions. The class of surfaces to whic…