# Attractors , basins, Finite

## Jacob Palis Conjecture(Finitude of Attractors)(Dynamical Systems) ★★★★

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**Conjecture**Let be the space of Diffeomorphisms on the connected , compact and boundaryles manifold M and the space of vector fields. There is a dense set ( ) such that exhibit a finite number of attractor whose basins cover Lebesgue almost all ambient space

This is a very Deep and Hard problem in Dynamical Systems . It present the dream of the dynamicist mathematicians .

Keywords: Attractors , basins, Finite