Question

A question related to the topology of the level sets of a particular type of smooth functions $f:\mathbb{R}^2\to \mathbb{R}$.

score 228 · Answer 1 · 2014-10-19 20:14:13

228

Views

A question related to the topology of the level sets of a particular type of smooth functions $f:\mathbb{R}^2\to \mathbb{R}$.

Published on 19 Oct 2014 - 20:14

score 256 · Answer 2 · 2014-10-27 07:10:04

256

Views

Intuition about Morse functions

Published on 27 Oct 2014 - 7:10

score 651 · Answer 3 · 2014-11-21 08:13:17

651

Views

Prove directly Morse lemma for real line $\mathbb{R}$

Published on 21 Nov 2014 - 8:13

score 1.3k · Answer 4 · 2014-11-26 07:07:11

1.3k

Views

On the Euler characteristic in Morse Theory

Published on 26 Nov 2014 - 7:07

score 362 · Answer 5 · 2014-12-02 20:52:40

362

Views

Limits of trajectory of gradient flow in Hilbert space

Published on 02 Dec 2014 - 20:52

score 117 · Answer 6 · 2014-12-28 14:08:19

117

Views

Sheaf-theoretic approach to Morse functions?

Published on 28 Dec 2014 - 14:08

score 517 · Answer 7 · 2019-10-21 11:55:31

517

Views

Understanding Morse homology with the example of a circle

Published on 21 Oct 2019 - 11:55

score 32 · Answer 8 · 2019-10-22 17:55:22

32

Views

Is having critical points a necessary condition for a Morse function?

Published on 22 Oct 2019 - 17:55

score 114 · Answer 9 · 2019-10-30 18:00:56

114

Views

Homology calculation using Morse theory

Published on 30 Oct 2019 - 18:00

score 159 · Answer 10 · 2019-11-13 23:09:41

159

Views

What is the most surprising / interesting application of the inverse function theorem you have ever seen?

Published on 13 Nov 2019 - 23:09

score 264 · Answer 11 · 2019-11-14 04:10:05

264

Views

Can a smooth function with compact sublevel sets only admit local minimizers?

Published on 14 Nov 2019 - 4:10

score 53 · Answer 12 · 2019-11-17 13:26:33

53

Views

Proving the existence of non-minimum critical points

Published on 17 Nov 2019 - 13:26

score 290 · Answer 13 · 2019-11-22 01:21:05

290

Views

Simple proof for bound on the sum of Betti numbers for piecewise linear complex

Published on 22 Nov 2019 - 1:21

score 86 · Answer 14 · 2019-11-30 20:27:12

86

Views

Show that is a Morse function.

Published on 30 Nov 2019 - 20:27

score 241 · Answer 15 · 2019-12-08 14:27:32

241

Views

Homotopy type of the loop space of a compact Lie group

Published on 08 Dec 2019 - 14:27

List Question

A question related to the topology of the level sets of a particular type of smooth functions $f:\mathbb{R}^2\to \mathbb{R}$.

Intuition about Morse functions

Prove directly Morse lemma for real line $\mathbb{R}$

On the Euler characteristic in Morse Theory

Limits of trajectory of gradient flow in Hilbert space

Sheaf-theoretic approach to Morse functions?

Understanding Morse homology with the example of a circle

Is having critical points a necessary condition for a Morse function?

Homology calculation using Morse theory

What is the most surprising / interesting application of the inverse function theorem you have ever seen?

Can a smooth function with compact sublevel sets only admit local minimizers?

Proving the existence of non-minimum critical points

Simple proof for bound on the sum of Betti numbers for piecewise linear complex

Show that is a Morse function.

Homotopy type of the loop space of a compact Lie group

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