List questions from differential-topology

Published on 19 Mar 2026 - 19:46

72

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Inequivalent holomorphic atlases

Published on 18 Mar 2026 - 16:36

108

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Finite covers of handlebodies?

Published on 20 Mar 2026 - 10:49

484

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How to prove two differential structures are distinct

Published on 22 Mar 2026 - 7:02

450

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How can I prove $(0,2]$ is a smooth manifold? And something questions about the choice of the open set of a manifold?

Published on 22 Mar 2026 - 2:16

632

Views

How can I prove that $\mathbb{R}/2\pi\mathbb{Z}$ is a smooth manifold?

Published on 22 Mar 2026 - 11:03

84

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Homologically zero circles in smooth manifolds

Published on 23 Mar 2026 - 13:27

76

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"Any two codimension-zero balls in a connected manifold are isotopic"

Published on 21 Jan 2018 - 14:32

576

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Why is smoothness defined only for functions on open sets?

Published on 17 Mar 2026 - 13:21

45

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Topology on a smooth manifold

Published on 16 Mar 2026 - 21:26

171

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Open subset of Euclidean space can't have non-spherical manifold compactification.

Published on 21 Jan 2018 - 20:33

284

Views

GP $1.2.9(d)$: $d(f\times g)_{(x,y)}=df_x\times dg_y$

Published on 22 Jan 2018 - 4:16

2.5k

Views

If a topological space is homeomorphic to a smooth manifold, then will it be a smooth manifold?

Published on 24 Mar 2026 - 1:07

703

Views

Characterization of the tangent space in terms of velocity vectors

Published on 17 Mar 2026 - 21:02

710

Views

GP $1.2.11(b)$: Tangent space to the graph of a smooth function

Published on 17 Mar 2026 - 18:30

List Question

the mathematics of stirring

Inequivalent holomorphic atlases

Finite covers of handlebodies?

How to prove two differential structures are distinct

How can I prove $(0,2]$ is a smooth manifold? And something questions about the choice of the open set of a manifold?

How can I prove that $\mathbb{R}/2\pi\mathbb{Z}$ is a smooth manifold?

Homologically zero circles in smooth manifolds

"Any two codimension-zero balls in a connected manifold are isotopic"

Why is smoothness defined only for functions on open sets?

Topology on a smooth manifold

Open subset of Euclidean space can't have non-spherical manifold compactification.

GP $1.2.9(d)$: $d(f\times g)_{(x,y)}=df_x\times dg_y$

If a topological space is homeomorphic to a smooth manifold, then will it be a smooth manifold?

Characterization of the tangent space in terms of velocity vectors

GP $1.2.11(b)$: Tangent space to the graph of a smooth function

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