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Results tagged with reference-request
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user 94090
This tag is used if a reference is needed in a paper or textbook on a specific result.
1
vote
1
answer
121
views
Stability of the critical points set
Let $F:\mathbb{S}^{2}\times\lbrack0,1]\rightarrow\mathbb{R}$ be a smooth
($C^{\infty}$) function and $f_{t}(x)=F(x,t)$. Suppose that $f_{0}=f_{1\text{
}}$is the projection over $z$-axis, so point $P=( …
- 45
1
vote
0
answers
157
views
level sets portrait near a critical point
Let $f:\mathbb{R}^{2}\rightarrow\mathbb{R}$ be a smooth ($C^{\infty}$) function and $O$ be an
isolated critical point of $f$. I am looking at the local level sets diagram
near $O$ from topological poi …
- 45
2
votes
1
answer
74
views
Is L-S category estimating the number of components of the critical set?
Let $f:M\rightarrow\mathbb{R}$ be a smooth function, where $M$ is a closed
manifold. I have the feeling that the Lusternik-Schnirelmann category of $M$
is an estimate from below of the number of compo …
- 45