Question

Construct smooth mapping $f: B^{n + 1} \to S^n$ with two singularities at which $f$ has degree $+/- 1$.

score 86 · Answer 1 · 2016-07-23 13:16:24

86

Views

Construct smooth mapping $f: B^{n + 1} \to S^n$ with two singularities at which $f$ has degree $+/- 1$.

Published on 23 Jul 2016 - 13:16

score 46 · Answer 2 · 2016-07-24 10:35:04

46

Views

function from a genus $2$ surface to $S^1$

Published on 24 Jul 2016 - 10:35

score 274 · Answer 3 · 2016-07-24 15:57:44

274

Views

Definition of manifold which are subset of euclidean space

Published on 24 Jul 2016 - 15:57

score 2.8k · Answer 4 · 2026-04-06 00:15:54

2.8k

Views

Why are geodesically convex sets diffeomorphic to $\Bbb R^n$?

Published on 06 Apr 2026 - 0:15

score 2.1k · Answer 5 · 2016-07-25 11:56:09

2.1k

Views

Hairy dog theorem

Published on 25 Jul 2016 - 11:56

score 179 · Answer 6 · 2016-07-25 13:08:45

179

Views

are immersions of surfaces in $\mathbb R^3$ dense in all regular maps?

Published on 25 Jul 2016 - 13:08

score 61 · Answer 7 · 2026-03-26 06:32:39

61

Views

If $M^n$ is a submanifold of $\mathbb{R}^{n+k}$ such there are L.I. vector fields $v_1,\ldots,v_k$ such that $v_i \perp T_pM$ then $M$ is orientable

Published on 26 Mar 2026 - 6:32

score 75 · Answer 8 · 2016-07-26 10:56:19

75

Views

$f: S^n \to S^n$ is the restriction of a continuous mapping $F: \overline{B^n_1} \to S^n$ iff $deg(f) = 0$.

Published on 26 Jul 2016 - 10:56

score 92 · Answer 9 · 2026-03-26 16:23:14

92

Views

Isometry (Riemannian geometry) on a simple example

Published on 26 Mar 2026 - 16:23

score 447 · Answer 10 · 2016-07-27 00:25:47

447

Views

Topology on function space between smooth manifolds

Published on 27 Jul 2016 - 0:25

score 92 · Answer 11 · 2016-07-28 20:13:50

92

Views

Does $T^3$ double cover $\mathbb{R}P^3$?

Published on 28 Jul 2016 - 20:13

score 51 · Answer 12 · 2016-07-29 10:02:20

51

Views

Degree of square map in $\mathbb{P}_{\mathbb{R}}^3$

Published on 29 Jul 2016 - 10:02

score 989 · Answer 13 · 2026-03-25 09:38:10

989

Views

How to integrate surface area of the Mobius strip using 'density'?

Published on 25 Mar 2026 - 9:38

score 114 · Answer 14 · 2026-03-30 01:29:59

114

Views

Definition of characteristic element of a vector bundle? Is this the same as the characteristic class?

Published on 30 Mar 2026 - 1:29

score 94 · Answer 15 · 2016-07-29 17:09:38

94

Views

Identify this 3-manifold

Published on 29 Jul 2016 - 17:09

List Question

Construct smooth mapping $f: B^{n + 1} \to S^n$ with two singularities at which $f$ has degree $+/- 1$.

function from a genus $2$ surface to $S^1$

Definition of manifold which are subset of euclidean space

Why are geodesically convex sets diffeomorphic to $\Bbb R^n$?

Hairy dog theorem

are immersions of surfaces in $\mathbb R^3$ dense in all regular maps?

If $M^n$ is a submanifold of $\mathbb{R}^{n+k}$ such there are L.I. vector fields $v_1,\ldots,v_k$ such that $v_i \perp T_pM$ then $M$ is orientable

$f: S^n \to S^n$ is the restriction of a continuous mapping $F: \overline{B^n_1} \to S^n$ iff $deg(f) = 0$.

Isometry (Riemannian geometry) on a simple example

Topology on function space between smooth manifolds

Does $T^3$ double cover $\mathbb{R}P^3$?

Degree of square map in $\mathbb{P}_{\mathbb{R}}^3$

How to integrate surface area of the Mobius strip using 'density'?

Definition of characteristic element of a vector bundle? Is this the same as the characteristic class?

Identify this 3-manifold

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