Lyapunov stable chain recurrent classes
classification
🧮 math.DS
math.GN
keywords
stablesubsetambientawaybonattichainclassesconjecture
read the original abstract
We show that for a $C^1$ residual subset of diffeomorphisms far away from homoclinic tangency, the stable manifolds of periodic points cover a dense subset of the ambient manifold. This gives a partial proof to a conjecture of C. Bonatti.
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