Question

"the only odd dimensional spheres with a unique smooth structure are $S^1$, $S^3$, $S^5$, $S^{61}$"

score 2.8k · Answer 1 · 2026-04-16 05:34:46

2.8k

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"the only odd dimensional spheres with a unique smooth structure are $S^1$, $S^3$, $S^5$, $S^{61}$"

Published on 16 Apr 2026 - 5:34

score 1.5k · Answer 2 · 2026-04-12 16:55:02

1.5k

Views

Inward/Outward-pointing tangent vector is well-defined

Published on 12 Apr 2026 - 16:55

score 288 · Answer 3 · 2026-04-16 09:19:17

288

Views

When are two vector fields $C^1$ close?

Published on 16 Apr 2026 - 9:19

score 122 · Answer 4 · 2026-03-31 03:31:16

122

Views

Are the two standard descriptions of $\mathbb{C}P^{\infty}$ (topologically) equivalent?

Published on 31 Mar 2026 - 3:31

score 286 · Answer 5 · 2026-04-14 12:15:04

286

Views

Is parallelizability equivalent to the set of vector fields being free?

Published on 14 Apr 2026 - 12:15

score 933 · Answer 6 · 2026-04-04 07:02:30

933

Views

Is a general smooth rescaling of a complete vector field itself complete?

Published on 04 Apr 2026 - 7:02

score 2.2k · Answer 7 · 2026-04-16 12:23:02

2.2k

Views

For $n$ even, antipodal map of $S^n$ is homotopic to reflection and has degree $-1$?

Published on 16 Apr 2026 - 12:23

score 87 · Answer 8 · 2026-04-13 18:39:14

87

Views

convergence in the $C^r$-topology on $C^r(M,N)$ for $M$, $N$ compact manifolds

Published on 13 Apr 2026 - 18:39

score 112 · Answer 9 · 2026-03-26 21:27:23

112

Views

Components of the space of immersions 2-manifold into $\mathbb R^3$

Published on 26 Mar 2026 - 21:27

score 378 · Answer 10 · 2026-04-12 04:38:11

378

Views

Injective immersion that is not trajectory of any flow

Published on 12 Apr 2026 - 4:38

score 96 · Answer 11 · 2026-04-14 15:54:30

96

Views

Monomorphism from a sheaf to a flasque sheaf: determining the stalk.

Published on 14 Apr 2026 - 15:54

score 399 · Answer 12 · 2026-04-14 23:44:30

399

Views

Lie groups where $x \mapsto x^2$ is a diffeomorphism?

Published on 14 Apr 2026 - 23:44

score 524 · Answer 13 · 2026-04-13 21:51:16

524

Views

Guillmin & Pollack's Definition of a Manifold

Published on 13 Apr 2026 - 21:51

score 104 · Answer 14 · 2026-04-16 14:05:42

104

Views

normal bundles are stably isotopic

Published on 16 Apr 2026 - 14:05

score 267 · Answer 15 · 2026-03-27 01:47:35

267

Views

If $\mathbb{RP}^n$ can be immersed in $\mathbb{R}^{n+1}$, how do I see that $n$ must be of the form $2^r - 1$ or $2^r - 2$?

Published on 27 Mar 2026 - 1:47

List Question

"the only odd dimensional spheres with a unique smooth structure are $S^1$, $S^3$, $S^5$, $S^{61}$"

Inward/Outward-pointing tangent vector is well-defined

When are two vector fields $C^1$ close?

Are the two standard descriptions of $\mathbb{C}P^{\infty}$ (topologically) equivalent?

Is parallelizability equivalent to the set of vector fields being free?

Is a general smooth rescaling of a complete vector field itself complete?

For $n$ even, antipodal map of $S^n$ is homotopic to reflection and has degree $-1$?

convergence in the $C^r$-topology on $C^r(M,N)$ for $M$, $N$ compact manifolds

Components of the space of immersions 2-manifold into $\mathbb R^3$

Injective immersion that is not trajectory of any flow

Monomorphism from a sheaf to a flasque sheaf: determining the stalk.

Lie groups where $x \mapsto x^2$ is a diffeomorphism?

Guillmin & Pollack's Definition of a Manifold

normal bundles are stably isotopic

If $\mathbb{RP}^n$ can be immersed in $\mathbb{R}^{n+1}$, how do I see that $n$ must be of the form $2^r - 1$ or $2^r - 2$?

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