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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 , where is a definable set in an o-minimal structure and the topology on 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…