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user 171941
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Sufficient condition for the union of two submanifolds to be a submanifold
I have two smoothly embedded orientable surfaces $S_1,S_2\subset S^3 \times [0,1]$ with boundary such that
$(i)$ $S_1\cap S_2$ is a smoothly embedded surface without boundary and
$(ii)$ $\overline{S …
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Sufficient condition for the union of two submanifolds to be a submanifold
In the meantime, a very similar question of mine has been answered here https://math.stackexchange.com/a/4642619/857154 , which answers these questions aswell. Moishe Kohan has provided a counterexamp …