List questions from smooth-manifolds

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Confused about A. Kosinski's description of Surgery in his book "Differential Manifolds"

Published on 04 Apr 2026 - 3:45

81

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Seeing $\mathbb{S}^3$ as a pullback

Published on 25 Mar 2026 - 7:38

88

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smooth structure on a smooth manifold

Published on 04 Apr 2026 - 3:46

126

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Mapping class group of $S^1 \times S^1 \times I$

Published on 09 Mar 2026 - 11:40

174

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Given two sets diffeomorphic to the unit ball, are the connected components also diffeomorphic to the unit ball?

Published on 03 Apr 2026 - 6:40

225

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Action-angle differential forms on the $2$-torus

Published on 29 Mar 2026 - 20:20

63

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Inconsequent use of coordinates in function evaluation and differentiation.

Published on 18 Jan 2020 - 20:29

197

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Find an atlas for special unitary group $SU(2)$

Published on 19 Jan 2020 - 0:26

509

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Extending linearly independent smooth vector fields along a closed subset to a smooth local frame

Published on 29 Mar 2026 - 20:20

235

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Global and local Frobenius theorem

Published on 20 Jan 2020 - 11:49

40

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Show that a smooth truncating function exists on $\mathbb R^{n}$

Published on 20 Jan 2020 - 21:28

113

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$C^{\infty } $ diffeomorphism between 2 nonequivalent manifolds

Published on 22 Jan 2020 - 5:02

2.5k

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example for calculation of the exterior derivative

Published on 23 Feb 2026 - 6:20

21

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open subset of manifold

Published on 22 Jan 2020 - 16:17

List Question

Non-homeomorphic manifolds that are homotopy equivalent

Confused about A. Kosinski's description of Surgery in his book "Differential Manifolds"

Seeing $\mathbb{S}^3$ as a pullback

smooth structure on a smooth manifold

Mapping class group of $S^1 \times S^1 \times I$

Given two sets diffeomorphic to the unit ball, are the connected components also diffeomorphic to the unit ball?

Action-angle differential forms on the $2$-torus

Inconsequent use of coordinates in function evaluation and differentiation.

Find an atlas for special unitary group $SU(2)$

Extending linearly independent smooth vector fields along a closed subset to a smooth local frame

Global and local Frobenius theorem

Show that a smooth truncating function exists on $\mathbb R^{n}$

$C^{\infty } $ diffeomorphism between 2 nonequivalent manifolds

example for calculation of the exterior derivative

open subset of manifold

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