I was reading through Guillemin and Pollack and was having trouble verifying this for myself. Given $M \subset N$ and $N \subset P$, where $M$ is a submanifold of $N$, and $N$ a submanifold of $P$, how would one show that $M$ is also a submanifold of $P$?
2026-04-02 11:37:56.1775129876
Transitivity of smooth submanifolds
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