11. Distributions and the Frobenius Theorem
We define the notion of a distribution $ \Delta$ on a manifold $M$. We explain what is means for a distribution to be integrable, and prove the Local Frobenius Theorem which gives a necessary and sufficient condition for a distribution to be integrable.
We then define foliations and sketch a proof of the Global Frobenius Theorem, which states that a distribution is integrable if and only if it is induced by a foliation.
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