List questions from differential-topology

90

Views

Attaching a ball using the decomposition sphere of the connected sum splits up the fundamental class of connected sum

Published on 09 Apr 2026 - 19:33

218

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Connected sum of a smooth manifold with itself is the boundary of another manifold

Published on 17 Apr 2026 - 1:14

60

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Free circle actions on $S^3\times D^4$

Published on 15 Apr 2026 - 10:20

63

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Are there any "distinguished" points in the category of smooth manifolds?

Published on 16 Apr 2026 - 13:05

66

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construction of fibered $3$-manifold compatible with flat slices (fibered)

Published on 15 May 2026 - 12:21

166

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Choice of canonical generator of cohomology group of $\mathbb{CP}^n$

Published on 13 Apr 2026 - 4:20

148

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Confused about Chain Rule on Smooth Manifolds

Published on 10 Apr 2026 - 13:47

56

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Convergence of the image of the derivative map

Published on 13 Apr 2026 - 20:27

30

Views

Are smooth mappings of homotopic loops homotpic?

Published on 10 Apr 2026 - 6:16

138

Views

Milnor's proof of differomeomorphism invaraince of the index of a vector

Published on 14 Apr 2026 - 23:54

64

Views

Is there a smooth non-trivial action of $\mathrm{SU}(2)$ on a torus $\mathbb{T}^k$ for $k> 2$?

Published on 13 Apr 2026 - 21:38

113

Views

Two definitions of regular point of a smooth map

Published on 13 Apr 2026 - 3:13

59

Views

A few familiar low-dimensional diffeomorphisms via algebraic geometry

Published on 12 Apr 2026 - 5:15

369

Views

Why are submersions open maps?

Published on 14 Apr 2026 - 1:46

221

Views

Why does a submersion being an open map imply that it's domain and image must be open?

Published on 17 Apr 2026 - 11:24

List Question

Attaching a ball using the decomposition sphere of the connected sum splits up the fundamental class of connected sum

Connected sum of a smooth manifold with itself is the boundary of another manifold

Free circle actions on $S^3\times D^4$

Are there any "distinguished" points in the category of smooth manifolds?

construction of fibered $3$-manifold compatible with flat slices (fibered)

Choice of canonical generator of cohomology group of $\mathbb{CP}^n$

Confused about Chain Rule on Smooth Manifolds

Convergence of the image of the derivative map

Are smooth mappings of homotopic loops homotpic?

Milnor's proof of differomeomorphism invaraince of the index of a vector

Is there a smooth non-trivial action of $\mathrm{SU}(2)$ on a torus $\mathbb{T}^k$ for $k> 2$?

Two definitions of regular point of a smooth map

A few familiar low-dimensional diffeomorphisms via algebraic geometry

Why are submersions open maps?

Why does a submersion being an open map imply that it's domain and image must be open?

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