BOUNDARY OF A PFAFFIAN HYPERSURFACE

Authors
CANO F LION JM MOUSSU R
Citation
F. Cano et al., BOUNDARY OF A PFAFFIAN HYPERSURFACE, Annales Scientifiques de l'Ecole Normale Superieure, 28(5), 1995, pp. 591-646
Citations number
38
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Annales Scientifiques de l'Ecole Normale Superieure → ACNP
ISSN journal
00129593
Volume
28
Issue
5
Year of publication
1995
Pages
591 - 646
Database
ISI
SICI code
0012-9593(1995)28:5<591:BOAPH>2.0.ZU;2-Z
Abstract
We associate to a singular analalytic codimension one foliation F on a real analytic manifold, a natural class of subsets called F-sets stab le by finite union and containing the non spiraling leaves of F. We pr ove that this class is stable by topological closure and it is generat ed by some smooth submanifolds. As a consequence, the ''boundary'' of a non spiraling leaf of F is a locally finite union of smooth submanif olds.