Topology of analytic foliations in ℂ2. The Kupka-Smale property

Autor:	Tanya Firsova
Rok vydání:	2006
Předmět:	Mathematics::Dynamical Systems Mathematics (miscellaneous) Property (philosophy) Foliation (geology) Countable set Mathematics::Differential Geometry General topology Topology Mathematics::Symplectic Geometry Complex plane Topology (chemistry) Generic point Mathematics
Zdroj:	Proceedings of the Steklov Institute of Mathematics. 254:152-168
ISSN:	1531-8605 0081-5438
DOI:	10.1134/s0081543806030060
Popis:	The topology of leaves of a generic analytic foliation on the complex plane is studied. It is proved that for a generic foliation all leaves are topological disks except for at most a countable number of topological cylinders. It is also shown that such foliations possess the Kupka-Smale property.
Databáze:	OpenAIRE
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