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Results tagged with transversality
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user 124592
2
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Homotopy type of transversal families of submanifolds through deformation
Let $A,B \subset M$ be two transversal submanifolds of a compact manifold $M$. It seems rather intuitive that if $A$ and $B$ are deformed (say smoothly) in a way that they remain transversal to each o …
- 1,227
1
vote
0
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Deformation sublevel sets of functions which preserve boundary
I'm interested in proving the following fact, which seems to naturally arise from gradient flow deformations, but appears to be a bit tricky.
Consider a smooth family
$$f_s : M \to \mathbb{R}, \quad …
- 1,227