Abstract
Given a compact 2 - dimensional manifold M we classify all continuous flows ℓ without wandering points on M. This classification is performed by finding finitely many pairwise disjoint open ℓ - invariant subsets {U 1,U2,Un} of M such that Ui=in Ui = M and each Ui is either a suspension of an interval exchange transformation, or a maximal open cylinder made up of closed trajectories of ℓ. © 2010 American Mathematical Society.
Original language | English |
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Pages (from-to) | 4569-4580 |
Journal | Transactions of the American Mathematical Society |
Volume | 362 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Jan 2010 |
Keywords
- Flows in compact surfaces
- Interval exchange transformation
- Wandering sets