6533b826fe1ef96bd1284657
RESEARCH PRODUCT
Curves as measured foliation on noncompact surfaces
A. PortolanoI. Maniscalcosubject
Surface (mathematics)Lemma (mathematics)Pure mathematicsProperty (philosophy)General MathematicsHomotopyMathematical analysisFoliationJordan curve theoremsymbols.namesakeBoundary componentsymbolsMathematics::Differential GeometryHomotopy classMathematicsdescription
In the present work, that regards the Thurston's theory, we prove that, if we choose a closed curve, how we wish, on a noncompact surface, it is always possible to construct a particular masured foliation that has the choosed curve like a leaf; we also prove this foliation has a remarkable property that makes very easy to mesure all homotopy classes of closed curves of our surface. To prove this statement we need some Propositions and some Lemma that we also demonstre.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1993-05-01 | Rendiconti del Circolo Matematico di Palermo |