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The boundary of the transversal pre-image of a submanifold with boundary

A similar question on MSE without answer. Let $M, N$ be smooth manifolds such that $\partial N=\varnothing$. Let $A$ be a smoothly embedded submanifold of $N$ such that $\partial A\neq \varnothing$. S …
1 vote
1 answer
143 views

Transversal pre-image of a small enough trivial tubular neighborhood contains a trivial tubu...

A similar post on MSE without answer. Let $f\colon M'\to M$ be a smooth map between two orientable closed smooth manifolds and $S$ be a smoothly embedded closed orientable submanifold of $M$ of co-dim …