Authors
Citation
C. Murolo et D. Trotman, Continuous lifting of vector fields, B SCI MATH, 125(4), 2001, pp. 253-278
Citations number
32
Categorie Soggetti
Mathematics
Journal title
BULLETIN DES SCIENCES MATHEMATIQUES
ISSN journal
00074497
→ ACNP
Volume
125
Issue
4
Year of publication
2001
Pages
253 - 278
Database
ISI
SICI code
0007-4497(200105)125:4<253:CLOVF>2.0.ZU;2-7
Abstract
We improve the known theorems on the continuous lifting of vector fields de
fined on a stratum X of a regular stratification of a closed set of a smoot
h manifold by introducing the notion of canonical distribution D-X: a conti
nuous l-bundle near X (l = dim X) such that the lifting on D-X of each vect
or field defined on X gives a canonical continuous stratified extension. (C
) 2001 Editions scientifiques et medicales Elsevier SAS.