Let $X\R^n$ be a set that is definable in an o-minimal structure over $R$. This article shows that in a suitable sense, there are very few rational points of $X$ which do not lie on some connected semialgebraic subset of $X$ of positive dimensio
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
AbstractPop proved that a smooth curve C over an ample field K with C(K)≠∅ has |K| many rational poi...
Given a subset of $X\subseteq \mathbb{R}^{n}$ we can associate with everypoint $x\in \mathbb{R}^{n}$...
Let X ⊂ ℝn be a set that is definable in an o-minimal structure over M. This article shows that in a...
We prove that the semialgebraic, algebraic, and algebraic nonsingular points of a definable set in o...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an...
Consider the vanishing locus of a real analytic function on $\mathbb{R}^n$ restricted to $[0,1]^n$. ...
AbstractThe structure M = (M, <, R1, R2,…) is o-minimal if every definable set X ⊂ M is a finite uni...
AbstractWe give a characterization of one-dimensional, definably connected groups definable in any o...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
We study the problem of counting the number of varieties in families which have a rational point. We...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
AbstractPop proved that a smooth curve C over an ample field K with C(K)≠∅ has |K| many rational poi...
Given a subset of $X\subseteq \mathbb{R}^{n}$ we can associate with everypoint $x\in \mathbb{R}^{n}$...
Let X ⊂ ℝn be a set that is definable in an o-minimal structure over M. This article shows that in a...
We prove that the semialgebraic, algebraic, and algebraic nonsingular points of a definable set in o...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This paper studies diophantine properties of sets definable in an o-minimal structure over the real ...
This thesis concerns the study of the density of rational and algebraic points in the transcendental...
We prove some simple special cases, partly new, of results of André-Oort-Manin-Mumford type using an...
Consider the vanishing locus of a real analytic function on $\mathbb{R}^n$ restricted to $[0,1]^n$. ...
AbstractThe structure M = (M, <, R1, R2,…) is o-minimal if every definable set X ⊂ M is a finite uni...
AbstractWe give a characterization of one-dimensional, definably connected groups definable in any o...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
We use a result due to Rolin, Speissegger, and Wilkie to show that definable sets in certain o-minim...
We study the problem of counting the number of varieties in families which have a rational point. We...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
AbstractPop proved that a smooth curve C over an ample field K with C(K)≠∅ has |K| many rational poi...
Given a subset of $X\subseteq \mathbb{R}^{n}$ we can associate with everypoint $x\in \mathbb{R}^{n}$...
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