Add to ORKGGiven an ominimal expansion R of the real field, we show that the structure obtained from R by iterating the operation of adding all total Pfaffian functions over R defines the same sets as the Pfaffian closure of
AbstractWe present a theory of relative Pfaffians on infinite-dimensional Banach spaces
AbstractInfinitesimal quantifiers are of the form (∃X∼0)A, meaning (∀η>0)(∃X)(|X|<η∧A); and (∀X∼0)A,...
The notion of relative closure (X, Y)0 of a semi-Pfaffian couple (X, Y) was introduced by Gabrielov ...
Speissegger proved that the Pfaffian closure of an o- minimal expansion of the real field is o-minim...
Using a modification of Wilkie's recent proof of o-minimality for Pfaffian functions, we gave a...
We introduce the “relative closure ” operation on one-parametric families of semi-Pfaffian sets. We ...
Abstract. Let R be an o-minimal expansion of the real field, and let P(R) be its Pfaffian closure. L...
International audienceLet R be an o-minimal expansion of the real field, and let P(R) be its Pfaffia...
. Let e R be an o-minimal expansion of the field of real numbers. We show that if e R has analyt...
Abstract. Recent developments in the theory of pfaffian sets are presented from a model-theoretic po...
In the present thesis, we establish upper-bounds on the topological complexity of sets defined using...
AbstractBlum et al. (1989) showed the existence of a NP-complete problem over the real closed fields...
M. Michel Coste (President) M. Krysztof Kurdyka (Rapporteur) M. Jean-Marie Lion (Examinateur) M. Jea...
M. Michel Coste (President) M. Krysztof Kurdyka (Rapporteur) M. Jean-Marie Lion (Examinateur) M. Jea...
AbstractWe present an efficient algorithm for computing the pfaffian of a matrix whose elements belo...
AbstractWe present a theory of relative Pfaffians on infinite-dimensional Banach spaces
AbstractInfinitesimal quantifiers are of the form (∃X∼0)A, meaning (∀η>0)(∃X)(|X|<η∧A); and (∀X∼0)A,...
The notion of relative closure (X, Y)0 of a semi-Pfaffian couple (X, Y) was introduced by Gabrielov ...
Speissegger proved that the Pfaffian closure of an o- minimal expansion of the real field is o-minim...
Using a modification of Wilkie's recent proof of o-minimality for Pfaffian functions, we gave a...
We introduce the “relative closure ” operation on one-parametric families of semi-Pfaffian sets. We ...
Abstract. Let R be an o-minimal expansion of the real field, and let P(R) be its Pfaffian closure. L...
International audienceLet R be an o-minimal expansion of the real field, and let P(R) be its Pfaffia...
. Let e R be an o-minimal expansion of the field of real numbers. We show that if e R has analyt...
Abstract. Recent developments in the theory of pfaffian sets are presented from a model-theoretic po...
In the present thesis, we establish upper-bounds on the topological complexity of sets defined using...
AbstractBlum et al. (1989) showed the existence of a NP-complete problem over the real closed fields...
M. Michel Coste (President) M. Krysztof Kurdyka (Rapporteur) M. Jean-Marie Lion (Examinateur) M. Jea...
M. Michel Coste (President) M. Krysztof Kurdyka (Rapporteur) M. Jean-Marie Lion (Examinateur) M. Jea...
AbstractWe present an efficient algorithm for computing the pfaffian of a matrix whose elements belo...
AbstractWe present a theory of relative Pfaffians on infinite-dimensional Banach spaces
AbstractInfinitesimal quantifiers are of the form (∃X∼0)A, meaning (∀η>0)(∃X)(|X|<η∧A); and (∀X∼0)A,...
The notion of relative closure (X, Y)0 of a semi-Pfaffian couple (X, Y) was introduced by Gabrielov ...