Geodesic
Topology of Analytic Foliations in~$\mathbb C^2$. The Kupka--Smale Property
Informatics and Automation, Nonlinear analytic differential equations, Tome 254 (2006), pp. 162-180

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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. 
@article{TRSPY_2006_254_a5,
     author = {T. S. Firsova},
     title = {Topology of {Analytic} {Foliations} in~$\mathbb C^2$. {The} {Kupka--Smale} {Property}},
     journal = {Informatics and Automation},
     pages = {162--180},
     publisher = {mathdoc},
     volume = {254},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2006_254_a5/}
}
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T. S. Firsova. Topology of Analytic Foliations in~$\mathbb C^2$. The Kupka--Smale Property. Informatics and Automation, Nonlinear analytic differential equations, Tome 254 (2006), pp. 162-180. http://geodesic.mathdoc.fr/item/TRSPY_2006_254_a5/