List questions from smooth-functions

Published on 25 Mar 2026 - 21:47

883

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Prove that the cone $S = \{(x,y,z) \in \Bbb R^3 ~|~x^2+y^2-z^2=0 \}$ is not a smooth surface

Published on 25 Mar 2026 - 9:10

94

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Reference request for a proof : every convex open subset of $\Bbb R^n$ is diffeomorphic to $\Bbb R^n$

Published on 02 Sep 2020 - 13:25

94

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How does a function's smoothness relate to the smoothness of its inverse?

Published on 25 Mar 2026 - 9:09

874

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Smooth Bump Function Between Two Functions

Published on 07 Sep 2020 - 14:34

47

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limit in two dimensions of a function

Published on 08 Sep 2020 - 5:50

89

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Homeomorphism $\mathbb{B}^n \to \mathbb{B}^n$ that is not a diffeomorphism

Published on 26 Mar 2026 - 17:31

174

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Submanifold that is not preimage

Published on 29 Mar 2026 - 3:03

200

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Zero set of a smooth function (Reference/Example Reques)

Published on 14 Sep 2020 - 20:11

115

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Existence of a certain smooth function $\Bbb R\to \Bbb R$ whose derivative takes values in $(-1,0]$

Published on 27 Mar 2026 - 0:58

486

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Question about the proof of Reeb's theorem in Milnor's Morse Theory

Published on 27 Mar 2026 - 1:00

221

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Set of critical points of a smooth map between two manifolds is closed

Published on 28 Sep 2020 - 15:53

272

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How to fit a smooth polynomial?

Published on 26 Mar 2026 - 16:23

316

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Upper and lower bound on characteristic function

Published on 07 Oct 2020 - 10:25

236

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Properties of s(u); a SMOOTH CURVE in ℝ³.

Published on 07 Oct 2020 - 22:39

List Question

Is there a tessellation with no corners?

Prove that the cone $S = \{(x,y,z) \in \Bbb R^3 ~|~x^2+y^2-z^2=0 \}$ is not a smooth surface

Reference request for a proof : every convex open subset of $\Bbb R^n$ is diffeomorphic to $\Bbb R^n$

How does a function's smoothness relate to the smoothness of its inverse?

Smooth Bump Function Between Two Functions

limit in two dimensions of a function

Homeomorphism $\mathbb{B}^n \to \mathbb{B}^n$ that is not a diffeomorphism

Submanifold that is not preimage

Zero set of a smooth function (Reference/Example Reques)

Existence of a certain smooth function $\Bbb R\to \Bbb R$ whose derivative takes values in $(-1,0]$

Question about the proof of Reeb's theorem in Milnor's Morse Theory

Set of critical points of a smooth map between two manifolds is closed

How to fit a smooth polynomial?

Upper and lower bound on characteristic function

Properties of s(u); a SMOOTH CURVE in ℝ³.

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