Graduate Program in Mathematics.Öztürk, Ferit.Özsarfati, Metin.2023-03-162023-03-162011.MATH 2011 O87https://digitalarchive.library.bogazici.edu.tr/handle/123456789/15261Let M be a compact, connected 2-manifold without boundary. Morse-Smale fields are known to be dense in the space of all Cr vector elds on M when M is oriented or is one of RP2, Klein bottle or torus with a cross cap. In this work, we study the proofs of these facts. Furthermore, we exhibit a global picture of a Cr vector eld X on a compact, connected 2-manifold without boundary when all the singularities of X are hyperbolic.30cm.Manifolds (Mathematics)xii, 133 leaves ;