Question

Is the surface of a sphere 2D or 3D

score 420 · Answer 1 · 2026-03-25 09:48:44

420

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Is the surface of a sphere 2D or 3D

Published on 25 Mar 2026 - 9:48

score 64 · Answer 2 · 2026-03-25 11:24:34

64

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Finding an automorphism of the Riemann sphere that sends the branch points of the Weierstrass elliptic function $\wp$ to $(0, \infty, -1, 1)$

Published on 25 Mar 2026 - 11:24

score 82 · Answer 3 · 2026-03-25 09:50:05

Every degree $2$ holomorphic endomorphism of $\mathbb{CP}^1$ with two ramification points such that $g(a_1) = 0$ and $g(a_2) = \infty$ can be written…

score 85 · Answer 4 · 2026-03-25 09:50:18

85

Views

Why are the Möbius transformations the conformal automorphisms of the Riemann sphere in the sense of Riemannian geometry?

Published on 25 Mar 2026 - 9:50

score 57 · Answer 5 · 2026-03-25 09:50:43

57

Views

Simple connectedness of a horizontal strip

Published on 25 Mar 2026 - 9:50

score 122 · Answer 6 · 2026-03-25 09:48:12

122

Views

Why is conformal mapping important for Riemann Sphere

Published on 25 Mar 2026 - 9:48

score 34 · Answer 7 · 2026-03-25 09:53:49

34

Views

Conjugating the Mobius Transformation $\mathcal M(z)=1/(z-2i)$

Published on 25 Mar 2026 - 9:53

score 61 · Answer 8 · 2026-03-25 09:50:11

61

Views

Let $f: \mathbb C \to \mathbb C$ be a proper smooth map with continuous extension $F : \mathbb C P^1 \to \mathbb C P^1$. Must $F$ be smooth?

Published on 25 Mar 2026 - 9:50

score 43 · Answer 9 · 2026-03-25 09:45:45

43

Views

Understanding continuity in $\hat{\mathbb{C}}$

Published on 25 Mar 2026 - 9:45

score 148 · Answer 10 · 2026-03-25 09:49:58

148

Views

How to prove: The stereographic projection is orientation reversing (Complex Analysis by Theodore W. Gamelin 1.3.3)?

Published on 25 Mar 2026 - 9:49

score 51 · Answer 11 · 2026-03-25 09:45:50

51

Views

Interpolating points on a sphere between two points

Published on 25 Mar 2026 - 9:45

score 70 · Answer 12 · 2026-03-25 09:49:24

70

Views

After removing a point from a connected set in sphere, are the connected components still connected when the original point is added back

Published on 25 Mar 2026 - 9:49

score 1.8k · Answer 13 · 2026-03-25 09:50:15

1.8k

Views

Why is the Z-transform of $e^{at}$, t = kT, different from Laplace transform of $e^{at}$

Published on 25 Mar 2026 - 9:50

score 75 · Answer 14 · 2026-03-25 09:46:52

75

Views

Open sets in $\mathbb C$ and open sets in $\hat{\mathbb C}$

Published on 25 Mar 2026 - 9:46

score 748 · Answer 15 · 2026-04-12 23:40:31

748

Views

Branched coverings of the Riemann sphere

Published on 12 Apr 2026 - 23:40

List Question

Is the surface of a sphere 2D or 3D

Finding an automorphism of the Riemann sphere that sends the branch points of the Weierstrass elliptic function $\wp$ to $(0, \infty, -1, 1)$

Every degree $2$ holomorphic endomorphism of $\mathbb{CP}^1$ with two ramification points such that $g(a_1) = 0$ and $g(a_2) = \infty$ can be written…

Why are the Möbius transformations the conformal automorphisms of the Riemann sphere in the sense of Riemannian geometry?

Simple connectedness of a horizontal strip

Why is conformal mapping important for Riemann Sphere

Conjugating the Mobius Transformation $\mathcal M(z)=1/(z-2i)$

Let $f: \mathbb C \to \mathbb C$ be a proper smooth map with continuous extension $F : \mathbb C P^1 \to \mathbb C P^1$. Must $F$ be smooth?

Understanding continuity in $\hat{\mathbb{C}}$

How to prove: The stereographic projection is orientation reversing (Complex Analysis by Theodore W. Gamelin 1.3.3)?

Interpolating points on a sphere between two points

After removing a point from a connected set in sphere, are the connected components still connected when the original point is added back

Why is the Z-transform of $e^{at}$, t = kT, different from Laplace transform of $e^{at}$

Open sets in $\mathbb C$ and open sets in $\hat{\mathbb C}$

Branched coverings of the Riemann sphere

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