The structure of leaves on open surfaces. (Structure des feuilles sur les surfaces ouvertes.) (French) Zbl 0862.57022
The author gives a classification of the \(\omega\)-limit and \(\alpha\)-limit sets of any leaf of a \(C^0\) orientable foliation \({\mathcal F}\) of an orientable open surface of finite genus \(g\). He also proves that \({\mathcal F}\) has at most \(g\) quasiminimals.
Reviewer: A.Piatkowski (Łódź)
MSC:
57R30 | Foliations in differential topology; geometric theory |