Question

How come every compact connected surface admits a presentation in which all vertices are identified with a single point?

score 103 · Answer 1 · 2021-01-18 22:15:52

103

Views

How come every compact connected surface admits a presentation in which all vertices are identified with a single point?

Published on 18 Jan 2021 - 22:15

score 364 · Answer 2 · 2021-01-20 08:07:11

364

Views

Computing principal curvatures in local coordinates

Published on 20 Jan 2021 - 8:07

score 99 · Answer 3 · 2026-03-27 23:14:00

99

Views

Proving that the complementary of a surface is connected

Published on 27 Mar 2026 - 23:14

score 877 · Answer 4 · 2026-03-27 21:34:33

877

Views

Different Representations of Dunce Cap

Published on 27 Mar 2026 - 21:34

score 197 · Answer 5 · 2026-03-30 11:57:47

197

Views

Intuitive Question about Klein Bottles and Torsion in Surface Groups

Published on 30 Mar 2026 - 11:57

score 76 · Answer 6 · 2026-03-26 23:09:15

76

Views

Geometric meaning of surface revolution

Published on 26 Mar 2026 - 23:09

score 37 · Answer 7 · 2021-01-26 21:18:18

37

Views

Is this equation expected to be a plane? How can I get some better intuition?

Published on 26 Jan 2021 - 21:18

score 40 · Answer 8 · 2021-01-27 16:48:18

40

Views

Conceptual Question on Tangent Planes to Surfaces

Published on 27 Jan 2021 - 16:48

score 150 · Answer 9 · 2026-04-06 09:49:39

150

Views

Self-intersection number of a loop on a surface

Published on 06 Apr 2026 - 9:49

score 37 · Answer 10 · 2021-01-28 13:34:11

37

Views

Proving that surface is not elementary

Published on 28 Jan 2021 - 13:34

score 30 · Answer 11 · 2021-01-29 14:39:13

30

Views

Any orientable connected two dimensional compact manifold is homeomorphic to a sphere with handles

Published on 29 Jan 2021 - 14:39

score 229 · Answer 12 · 2026-04-06 09:51:46

229

Views

Open annulus covers any orientable non simply-connected surface without boundary.

Published on 06 Apr 2026 - 9:51

score 211 · Answer 13 · 2026-04-04 13:42:13

211

Views

Every connected, open surface with the infinitely generated fundamental group is the interior of some non-compact surface with boundary

Published on 04 Apr 2026 - 13:42

score 146 · Answer 14 · 2026-03-27 08:46:38

146

Views

The equation of the surface in cylindrical coordinates: ${r^{2}-2z^{2}=4r\cosθ-8r\sinθ-12z}$ . What is the equation in perpendicular coordinates?

Published on 27 Mar 2026 - 8:46

score 228 · Answer 15 · 2026-04-03 17:51:23

228

Views

Noncompact surface with finite fundamental group

Published on 03 Apr 2026 - 17:51

List Question

How come every compact connected surface admits a presentation in which all vertices are identified with a single point?

Computing principal curvatures in local coordinates

Proving that the complementary of a surface is connected

Different Representations of Dunce Cap

Intuitive Question about Klein Bottles and Torsion in Surface Groups

Geometric meaning of surface revolution

Is this equation expected to be a plane? How can I get some better intuition?

Conceptual Question on Tangent Planes to Surfaces

Self-intersection number of a loop on a surface

Proving that surface is not elementary

Any orientable connected two dimensional compact manifold is homeomorphic to a sphere with handles

Open annulus covers any orientable non simply-connected surface without boundary.

Every connected, open surface with the infinitely generated fundamental group is the interior of some non-compact surface with boundary

The equation of the surface in cylindrical coordinates: ${r^{2}-2z^{2}=4r\cosθ-8r\sinθ-12z}$ . What is the equation in perpendicular coordinates?

Noncompact surface with finite fundamental group

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