Let X ⊂ ℝn be a set that is definable in an o-minimal structure over M. 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 dimension
AbstractPop proved that a smooth curve C over an ample field K with C(K)≠∅ has |K| many rational poi...
We survey the development of o-minimal structures from a geometric point of view and compare them wi...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
Let $X\R^n$ be a set that is definable in an o-minimal structure over $R$. This article shows that i...
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...
AbstractPop proved that a smooth curve C over an ample field K with C(K)≠∅ has |K| many rational poi...
We survey the development of o-minimal structures from a geometric point of view and compare them wi...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
Let $X\R^n$ be a set that is definable in an o-minimal structure over $R$. This article shows that i...
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...
AbstractPop proved that a smooth curve C over an ample field K with C(K)≠∅ has |K| many rational poi...
We survey the development of o-minimal structures from a geometric point of view and compare them wi...
AbstractWe present some recent results and problems concerning definable sets and functions in o-min...
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