List questions from smooth-functions

Published on 14 Apr 2026 - 4:59

1.3k

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Proving that the image of an injective, proper immersion is a manifold

Published on 17 Apr 2026 - 12:21

148

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Sequences of bounded smooth functions versus numerical sequences of their supremum norms

Published on 17 Apr 2026 - 4:39

769

Views

Adapted charts for smooth manifold

Published on 15 Apr 2026 - 15:33

643

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Submanifolds and adapted atlas

Published on 15 Apr 2026 - 18:51

127

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Computing the differential of a certain smooth map

Published on 13 Apr 2026 - 10:50

243

Views

Smooth Elementary Function that Outgrows All Tower Functions?

Published on 22 Apr 2026 - 20:14

1.4k

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Can a function be smooth at a single point?

Published on 09 Apr 2026 - 2:52

446

Views

Smooth curves and velocity

Published on 10 Apr 2026 - 18:01

212

Views

Definition of smooth functions on arbitrary subsets of $\mathbb{R}^n$ and partial derivatives

Published on 11 Apr 2026 - 12:26

2.3k

Views

Smooth map with null differential at each point are constant on the connected component of the domain

Published on 15 Apr 2026 - 6:19

56

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Smooth endpoint map

Published on 11 Apr 2026 - 6:32

260

Views

"Standard reference" for $C_c^\infty(\mathbb R)$ is dense in $C_c(\mathbb R)$

Published on 13 Apr 2026 - 21:15

1.6k

Views

Completion of local frames for the tangent bundle of a smooth manifold

Published on 10 Apr 2026 - 9:50

713

Views

Smoothness is local

Published on 15 Apr 2026 - 7:36

List Question

Continuous on a disk, smooth on a disk minus a closed interval. Does it extend?

Proving that the image of an injective, proper immersion is a manifold

Sequences of bounded smooth functions versus numerical sequences of their supremum norms

Adapted charts for smooth manifold

Submanifolds and adapted atlas

Computing the differential of a certain smooth map

Smooth Elementary Function that Outgrows All Tower Functions?

Can a function be smooth at a single point?

Smooth curves and velocity

Definition of smooth functions on arbitrary subsets of $\mathbb{R}^n$ and partial derivatives

Smooth map with null differential at each point are constant on the connected component of the domain

Smooth endpoint map

"Standard reference" for $C_c^\infty(\mathbb R)$ is dense in $C_c(\mathbb R)$

Completion of local frames for the tangent bundle of a smooth manifold

Smoothness is local

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