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Results tagged with differential-topology
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user 171941
The study of differentiable manifolds and differentiable maps. One fundamental problem is that of classifying manifolds up to diffeomorphism. Differential topology is what Poincaré understood as topology or “analysis situs”.
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1
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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 …
0
votes
Accepted
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 …