Question

$f: \mathbb{R}^{n+1}-\{0\}\rightarrow S^{n}$ via $x \mapsto\frac{x}{\|x\|}$ is continuous

score 94 · Answer 1 · 2016-07-18 05:06:47

94

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$f: \mathbb{R}^{n+1}-\{0\}\rightarrow S^{n}$ via $x \mapsto\frac{x}{\|x\|}$ is continuous

Published on 18 Jul 2016 - 5:06

score 1.6k · Answer 2 · 2016-07-20 13:05:12

1.6k

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Sphere-rectangle intersection

Published on 20 Jul 2016 - 13:05

score 48 · Answer 3 · 2016-07-21 17:55:24

48

Views

Sphere Packing inside a quadratic space

Published on 21 Jul 2016 - 17:55

score 803 · Answer 4 · 2026-03-25 13:05:09

803

Views

How to find the corresponding 2D Cartesian coordinates from 3D ellipsoid?

Published on 25 Mar 2026 - 13:05

score 307 · Answer 5 · 2016-07-29 12:05:02

307

Views

Calculate the fundamental group of a subspace of $\mathbb R^3$, $S^3$ and $\mathbb P^3(\mathbb R)$

Published on 29 Jul 2016 - 12:05

score 409 · Answer 6 · 2016-07-29 18:47:19

409

Views

Fundamental group of $S^2 - \{N,S\}$

Published on 29 Jul 2016 - 18:47

score 605 · Answer 7 · 2016-07-30 09:58:46

605

Views

Triple Integral between sphere and plane

Published on 30 Jul 2016 - 9:58

score 45 · Answer 8 · 2016-07-30 23:39:17

45

Views

Compactness yields an affine plane

Published on 30 Jul 2016 - 23:39

score 3.4k · Answer 9 · 2016-08-04 01:31:31

3.4k

Views

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score 441 · Answer 10 · 2026-03-26 16:06:42

441

Views

Geodesics on a sphere lie on a plane

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score 241 · Answer 11 · 2016-08-05 12:24:19

241

Views

Find the point that minimises the sum of the angles from three points to that point on the surface of a sphere

Published on 05 Aug 2016 - 12:24

score 1.7k · Answer 12 · 2026-03-28 01:48:23

1.7k

Views

Fundamental group of two solid tori with boundaries identified via matrix action

Published on 28 Mar 2026 - 1:48

score 2.7k · Answer 13 · 2026-03-26 16:06:14

2.7k

Views

Show that geodesic distance on the $n$-sphere respects the triangle inequality

Published on 26 Mar 2026 - 16:06

score 54 · Answer 14 · 2026-03-26 17:42:29

54

Views

How to show $\alpha(t)=P\cos t+X\sin t$ is geodesic of $S^3$?

Published on 26 Mar 2026 - 17:42

score 44 · Answer 15 · 2016-08-09 19:36:47

44

Views

How to efficiently calculate point coordinates on a multi-dimensional sphere?

Published on 09 Aug 2016 - 19:36

List Question

$f: \mathbb{R}^{n+1}-\{0\}\rightarrow S^{n}$ via $x \mapsto\frac{x}{\|x\|}$ is continuous

Sphere-rectangle intersection

Sphere Packing inside a quadratic space

How to find the corresponding 2D Cartesian coordinates from 3D ellipsoid?

Calculate the fundamental group of a subspace of $\mathbb R^3$, $S^3$ and $\mathbb P^3(\mathbb R)$

Fundamental group of $S^2 - \{N,S\}$

Triple Integral between sphere and plane

Compactness yields an affine plane

Find point on a sphere given two angles

Geodesics on a sphere lie on a plane

Find the point that minimises the sum of the angles from three points to that point on the surface of a sphere

Fundamental group of two solid tori with boundaries identified via matrix action

Show that geodesic distance on the $n$-sphere respects the triangle inequality

How to show $\alpha(t)=P\cos t+X\sin t$ is geodesic of $S^3$?

How to efficiently calculate point coordinates on a multi-dimensional sphere?

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