Question

Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

score 156 · Answer 1 · 2026-02-23 01:05:11

156

Views

Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

Published on 23 Feb 2026 - 1:05

score 94 · Answer 2 · 2026-03-22 01:24:00

94

Views

Is every hyperbolic 3-manifold of finite volume a link complement in some closed 3-manifold?

Published on 22 Mar 2026 - 1:24

score 172 · Answer 3 · 2026-03-21 20:42:26

172

Views

Understanding a comment by Thurston

Published on 21 Mar 2026 - 20:42

score 66 · Answer 4 · 2026-03-22 13:59:44

66

Views

Hyperbolic 3-manifolds of finite volume as link complements

Published on 22 Mar 2026 - 13:59

score 62 · Answer 5 · 2026-03-21 18:55:26

62

Views

The fundamental groups of 3-dimensional spherical space forms

Published on 21 Mar 2026 - 18:55

score 231 · Answer 6 · 2026-03-22 06:04:13

231

Views

Covering space of a compact connected surface without boundary is a compact surface without boundary

Published on 22 Mar 2026 - 6:04

score 46 · Answer 7 · 2026-03-21 20:56:15

46

Views

Can a compact surface-with-boundary admit arbitrarily high genus subsurfaces-with-boundary?

Published on 21 Mar 2026 - 20:56

score 176 · Answer 8 · 2026-03-21 17:42:17

176

Views

Why a special ball in $S^3$ is unique?

Published on 21 Mar 2026 - 17:42

score 280 · Answer 9 · 2026-03-22 10:24:32

280

Views

Stiefel Whitney class and intersection form

Published on 22 Mar 2026 - 10:24

score 49 · Answer 10 · 2026-03-21 19:18:28

49

Views

How to find an embedded submanifold in $\mathbb{R}^{n}$ which pass through some given points in $\mathbb{R}^{n}$ and has the lowest dimension?

Published on 21 Mar 2026 - 19:18

score 68 · Answer 11 · 2026-03-22 01:59:50

68

Views

Do Reidemeister moves allow you to go from a prime knot of n crossings to another prime knot of n crossings?

Published on 22 Mar 2026 - 1:59

score 127 · Answer 12 · 2026-03-22 01:24:26

127

Views

Is it possible to have linked n-spheres in any other space other than $\Bbb R^{n+2}$?

Published on 22 Mar 2026 - 1:24

score 27 · Answer 13 · 2026-03-22 10:42:20

27

Views

Algorithm for standardizing curves

Published on 22 Mar 2026 - 10:42

score 104 · Answer 14 · 2026-03-22 08:43:50

104

Views

what are the most interesting long standing problems in low-dimensional topology?

Published on 22 Mar 2026 - 8:43

score 454 · Answer 15 · 2026-03-22 05:06:06

454

Views

Do all non-orientable have to "close" in some direction?

Published on 22 Mar 2026 - 5:06

List Question

Is every 3-dimensional Poincaré complex a 3-dimensional topological variety?

Is every hyperbolic 3-manifold of finite volume a link complement in some closed 3-manifold?

Understanding a comment by Thurston

Hyperbolic 3-manifolds of finite volume as link complements

The fundamental groups of 3-dimensional spherical space forms

Covering space of a compact connected surface without boundary is a compact surface without boundary

Can a compact surface-with-boundary admit arbitrarily high genus subsurfaces-with-boundary?

Why a special ball in $S^3$ is unique?

Stiefel Whitney class and intersection form

How to find an embedded submanifold in $\mathbb{R}^{n}$ which pass through some given points in $\mathbb{R}^{n}$ and has the lowest dimension?

Do Reidemeister moves allow you to go from a prime knot of n crossings to another prime knot of n crossings?

Is it possible to have linked n-spheres in any other space other than $\Bbb R^{n+2}$?

Algorithm for standardizing curves

what are the most interesting long standing problems in low-dimensional topology?

Do all non-orientable have to "close" in some direction?

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