List questions from smooth-functions

Published on 25 Mar 2026 - 22:01

164

Views

Does open map imply dimension of domain is greater than or equal to dimension of range?

Published on 20 Apr 2021 - 9:41

308

Views

Does open map imply dimension of domain is greater than or equal to dimension of range? (please don't use sard's theorem)

Published on 21 Apr 2021 - 7:53

543

Views

Extending smooth functions on submanifolds

Published on 23 Apr 2021 - 7:35

82

Views

Name for Set Of Functions Smoothly Interpolating Between Points

Published on 23 Apr 2021 - 15:17

90

Views

Tangent vector to a curve $\gamma:(-\pi,\pi)\to \mathbb P^2(\mathbb R)$

Published on 27 Mar 2026 - 14:51

150

Views

Can one or more element of a partition of unity be identically zero?

Published on 06 May 2021 - 21:23

244

Views

If $x^\alpha f$ is in $L^1$, for some $\alpha>0$, then $f$ vanishes at infinity.

Published on 09 May 2021 - 21:41

48

Views

Do progressively more differentiable functions (once differentiable, then $C^1$, then twice differentiable, etc.) form an infinite nested hierarchy?

Published on 22 May 2021 - 10:54

181

Views

Surjective, open and submersion all have in common: image has non-empty interior. What about injective and immersion?

Published on 24 May 2021 - 4:59

40

Views

Extrema of arbitrary smooth functions in $L^2$

Published on 26 May 2021 - 14:22

323

Views

Can any coordinate function be completed into an orthogonal coordinates system?

Published on 30 May 2021 - 13:21

700

Views

Is ${\cal C}^\infty$ complete?

Published on 05 Jun 2021 - 16:50

442

Views

Bound on a certain difference of expectations involving Lipschitz functions

Published on 14 Jun 2021 - 19:15

111

Views

Smoothing function to combine a polynomial and a constant

Published on 16 Jun 2021 - 6:59

List Question

Doubt about pushforwards

Does open map imply dimension of domain is greater than or equal to dimension of range?

Does open map imply dimension of domain is greater than or equal to dimension of range? (please don't use sard's theorem)

Extending smooth functions on submanifolds

Name for Set Of Functions Smoothly Interpolating Between Points

Tangent vector to a curve $\gamma:(-\pi,\pi)\to \mathbb P^2(\mathbb R)$

Can one or more element of a partition of unity be identically zero?

If $x^\alpha f$ is in $L^1$, for some $\alpha>0$, then $f$ vanishes at infinity.

Do progressively more differentiable functions (once differentiable, then $C^1$, then twice differentiable, etc.) form an infinite nested hierarchy?

Surjective, open and submersion all have in common: image has non-empty interior. What about injective and immersion?

Extrema of arbitrary smooth functions in $L^2$

Can any coordinate function be completed into an orthogonal coordinates system?

Is ${\cal C}^\infty$ complete?

Bound on a certain difference of expectations involving Lipschitz functions

Smoothing function to combine a polynomial and a constant

Trending Questions

Popular # Hahtags

Popular Questions