List questions from smooth-functions

Published on 26 Mar 2026 - 0:52

204

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Composition of continuous and piecewise $C^{\infty}$ functions.

Published on 25 Mar 2026 - 23:56

53

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Is the maximum modulus of an entire function on a circle of radius $r$ a smooth function of $r$?

Published on 31 Oct 2023 - 14:20

54

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If the image of a map from a Lie group is open, then is its differential onto?

Published on 31 Oct 2023 - 22:48

52

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Differentiable structure where the covering is actually a partition.

Published on 01 Nov 2023 - 9:23

88

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Discontinuous function on $\Delta$ in Smooth Infinitesimal Analysis

Published on 23 Feb 2026 - 6:18

298

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For smooth $f$ on $[0,1]$ such that $f^{(k)}(0)=0$ for all $k\in\mathbb{N}$, is it true that $\lim_{x\to0}\frac{xf'(x)}{f(x)}=\infty$?

Published on 27 Mar 2026 - 0:05

145

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How to prove that we can't define discontinuous function on $R$?

Published on 23 Feb 2026 - 6:20

56

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Construction of a cut-off function with special properties

Published on 10 Nov 2023 - 18:47

41

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Existence of non-analytic, $\mathscr{C}^\infty$ continuations

Published on 11 Nov 2023 - 14:35

58

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Semi-regular kernels and distributions on open subset of $\mathbb R^n$

Published on 19 Nov 2023 - 0:24

73

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Pullback of a Partition of Unity

Published on 23 Feb 2026 - 18:44

61

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Is the dual of the space of semi-regular distributions complete

Published on 25 Mar 2026 - 6:18

36

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When is $f(z)$ analytic in the neigbourhood of $z$ for some complex $z$ close to the real line?

Published on 27 Mar 2026 - 1:05

35

Views

Differential of a map $\Gamma : M \times N \to P$

Published on 30 Nov 2023 - 17:38

List Question

When a set $F^{-1}(0)$ isn't a smooth submanifold

Composition of continuous and piecewise $C^{\infty}$ functions.

Is the maximum modulus of an entire function on a circle of radius $r$ a smooth function of $r$?

If the image of a map from a Lie group is open, then is its differential onto?

Differentiable structure where the covering is actually a partition.

Discontinuous function on $\Delta$ in Smooth Infinitesimal Analysis

For smooth $f$ on $[0,1]$ such that $f^{(k)}(0)=0$ for all $k\in\mathbb{N}$, is it true that $\lim_{x\to0}\frac{xf'(x)}{f(x)}=\infty$?

How to prove that we can't define discontinuous function on $R$?

Construction of a cut-off function with special properties

Existence of non-analytic, $\mathscr{C}^\infty$ continuations

Semi-regular kernels and distributions on open subset of $\mathbb R^n$

Pullback of a Partition of Unity

Is the dual of the space of semi-regular distributions complete

When is $f(z)$ analytic in the neigbourhood of $z$ for some complex $z$ close to the real line?

Differential of a map $\Gamma : M \times N \to P$

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