List questions from differential-topology

Published on 15 Apr 2026 - 12:12

188

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Is a piecewise smooth curve contained in a single chart?

Published on 15 Apr 2026 - 16:01

653

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Milnor's proof that $f^{-1}(y)$ is a finite set

Published on 16 Apr 2026 - 15:01

172

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An integrable section of the frame bundle.

Published on 12 Apr 2026 - 20:56

102

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Inverse Function Theorem as stated in Milnor's Topology from the Differentiable Viewpoint

Published on 16 Apr 2026 - 8:40

422

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Milnor's proof that $\#f^{-1}(y)$ is locally constant as a function of $y$

Published on 14 Apr 2026 - 11:29

47

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Is $A = \mathbb{R}^3 \cap \{(x, \pm{x}, y) : x^2 + y^2 = 1\}$ a submanifold of dimension $1$?

Published on 15 Apr 2026 - 20:27

386

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Why is this a safe neighborhood for uniform convergence of the sequence implicitly defining a function?

Published on 29 Mar 2026 - 11:08

29

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$\Omega^$ and $T^$

Published on 16 Apr 2026 - 15:42

81

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Determine all the values $(a,b)$ such that $F^{-1}(a,b)$ is a smooth one-dimensional submanifold of $\mathbb{R^3}$

Published on 15 Apr 2026 - 14:18

157

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Infinitesmal generator of gauge group action

Published on 09 Apr 2026 - 9:53

449

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I don't get how the word "jet" is used

Published on 15 Apr 2026 - 6:07

157

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Tensor characterization

Published on 13 Apr 2026 - 10:19

908

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Is the projection of a smooth submanifold a submanifold?

Published on 12 Apr 2026 - 9:09

80

Views

Why is it required that every subset of the image of an open set of manifold coordinates be an open set of the manifold?

Published on 15 Apr 2026 - 7:27

List Question

Winding number of closed 1-form

Is a piecewise smooth curve contained in a single chart?

Milnor's proof that $f^{-1}(y)$ is a finite set

An integrable section of the frame bundle.

Inverse Function Theorem as stated in Milnor's Topology from the Differentiable Viewpoint

Milnor's proof that $\#f^{-1}(y)$ is locally constant as a function of $y$

Is $A = \mathbb{R}^3 \cap \{(x, \pm{x}, y) : x^2 + y^2 = 1\}$ a submanifold of dimension $1$?

Why is this a safe neighborhood for uniform convergence of the sequence implicitly defining a function?

$\Omega^$ and $T^$

Determine all the values $(a,b)$ such that $F^{-1}(a,b)$ is a smooth one-dimensional submanifold of $\mathbb{R^3}$

Infinitesmal generator of gauge group action

I don't get how the word "jet" is used

Tensor characterization

Is the projection of a smooth submanifold a submanifold?

Why is it required that every subset of the image of an open set of manifold coordinates be an open set of the manifold?

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