THE STRUCTURE OF LEAVES ON OPEN SURFACES

Authors
MARZOUGUI H
Citation
H. Marzougui, THE STRUCTURE OF LEAVES ON OPEN SURFACES, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 323(2), 1996, pp. 185-188
Citations number
7
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
323
Issue
2
Year of publication
1996
Pages
185 - 188
Database
ISI
SICI code
0764-4442(1996)323:2<185:TSOLOO>2.0.ZU;2-Y
Abstract
Let F be a C-0 orientable foliation of an orientable open surface S of finite genus g. Then F has at most g quasiminimals and the omega-limi t (resp. alpha-limit) set of any leaf of F is, if it is non empty, a c ompact leaf or the union of closed and non compact leaves or a quasimi nimal.