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1 Differentiable Manifolds and Vector Fields.-
0 Calculus in ?n and Differentiable Manifolds.-
1 Vector Fields on Manifolds.-
2 The Topology of the Space of Cr Maps.-
3 Transversality.-
4 Structural Stability.- 2 Local Stability.-
1 The Tubular Flow Theorem.-
2 Linear Vector Fields.-
3 Singularities and Hyperbolic Fixed Points.-
4 Local Stability.-
5 Local Classification.-
6 Invariant Manifolds.-
7 The ?-lemma (Inclination Lemma). Geometrical Proof of Local Stability.- 3 The Kupka-Smale Theorem.-
1 The Poincaré Map.-
2 Genericity of Vector Fields Whose Closed Orbits Are Hyperbolic.-
3 Transversality of the Invariant Manifolds.- 4 Genericity and Stability of Morse-Smale Vector Fields.-
1 Morse-Smale Vector Fields; Structural Stability.-
2 Density of Morse-Smale Vector Fields on Orientable Surfaces.-
3 Generalizations.-
4 General Comments on Structural Stability. Other Topics.- References.