Analytic Stratification in the Pfaffian Closure of an O-minimal Structure

@inproceedings{Lion1999AnalyticSI,
  title={Analytic Stratification in the Pfaffian Closure of an O-minimal Structure},
  author={Jean-Marie Lion and Patrick Speissegger},
  year={1999}
}
Introduction. Let U ⊆ R be open andω = a1dx1+·· ·+andxn a nonsingular, integrable 1-form onU of classC1, and let be the foliation onU associated toω. A leafL ⊆ U of is aRolle leaf if anyC1 curveγ : [0,1] → U with γ (0),γ (1) ∈ L is tangent to at some point, that is, ω(γ (t))(γ ′(t)) = 0 for somet ∈ [0,1]. Note that while a leaf of is in general only an immersed manifold, any Rolle leaf of is an embedded and closed submanifold of U . Throughout this paper, we fix an arbitrary o-minimal… CONTINUE READING

From This Paper

Topics from this paper.

References

Publications referenced by this paper.
Showing 1-10 of 13 references

The pfa an closure of an o-minimal structure

P. Speissegger
J. Reine Angew. Math., 508 • 1999
View 20 Excerpts
Highly Influenced

Volumes

J.-M. Lion, J.-P. Rolin
feuilles de Rolle de feuilletages analytiques r eelles et th eor eme de Wilkie, Ann. Toulouse, 7 • 1998
View 4 Excerpts
Highly Influenced

Exemples de sous-ensembles sous-pfa ens et contact entre sous-ensembles sous-pfa ens

J.-M. Lion
Preprint • 1997
View 1 Excerpt

T-Convexity and Tame Extensions II

J. Symb. Log. • 1997
View 2 Excerpts

Fronti ere d'une hypersurface pfa enne

F. Cano, J.-M. Lion, R. Moussu
Ann. Scient. Ec. Norm. Sup., 28 • 1995
View 1 Excerpt

Fewnomials

A. Khovanskii
vol. 88 of Translations of Mathematical Monographs, American Mathematical Society • 1991
View 1 Excerpt

Th eorie de Khovanskii et probl eme de Dulac

R. Moussu, C. Roche
Invent. Math., 105 • 1991
View 3 Excerpts

Geometrical Methods in the Theory of Ordinary Di erential Equations

V. I. Arnold
Springer Verlag • 1988
View 1 Excerpt

P-adic and real subanalytic sets, Ann

J. Denef, L. van den Dries
1988
View 1 Excerpt

Similar Papers

Loading similar papers…