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On Morse Conjecture for Flows on Closed Surfaces |
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| Authors: | Habib Marzougui |
| Abstract: | Let M be a closed orientable surface and let ϕ be a C1‐flow on M with set of singularities compact countable. In this paper, we prove the Morse conjecture for ϕ: if ϕ is topologically transitive then it is metrically transitive. |
| Keywords: | Flows on surfaces orbit topological transitivity metrical transitivity Morse conjecture |