Question

Is every $(n-1)$-connected $n$-manifold embeddable in $\mathbb{R}^{n+1}$ homeomorphic to $\mathbb{S}^{n}$?

score 167 · Answer 1 · 2019-07-09 14:17:46

167

Views

Is every $(n-1)$-connected $n$-manifold embeddable in $\mathbb{R}^{n+1}$ homeomorphic to $\mathbb{S}^{n}$?

Published on 09 Jul 2019 - 14:17

score 252 · Answer 2 · 2026-03-25 19:10:32

252

Views

Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$.

Published on 25 Mar 2026 - 19:10

score 722 · Answer 3 · 2019-07-13 22:10:30

722

Views

Show the quotient space of a finite collection of disjoint 2 simplices obtained by identifying pairs of edges is always a surface, locally homeomorp

Published on 13 Jul 2019 - 22:10

score 107 · Answer 4 · 2026-03-25 08:07:36

107

Views

Can I deform a solid cylinder to a standard one?

Published on 25 Mar 2026 - 8:07

score 171 · Answer 5 · 2026-03-25 09:43:44

171

Views

Is there any way to prove that the following space is a $2$-dimensional embedding manifold in $\mathbb{R}^3$?

Published on 25 Mar 2026 - 9:43

score 490 · Answer 6 · 2026-03-25 09:48:35

490

Views

Does Alexander's horned sphere bound a ball?

Published on 25 Mar 2026 - 9:48

score 150 · Answer 7 · 2026-03-25 19:10:04

150

Views

Telling the Borromean rings apart from the unlink - via $\pi_1 / \pi_1^{(n)}$

Published on 25 Mar 2026 - 19:10

score 74 · Answer 8 · 2026-03-26 12:48:27

74

Views

find a cochain map $ψ: A• → B•$ with a condition that $ψ^i:A^i→B^i$ is an inijective

Published on 26 Mar 2026 - 12:48

score 187 · Answer 9 · 2019-07-27 03:33:14

187

Views

Universal cover of $(S^1\times S^3)\# (S^1\times S^3)$

Published on 27 Jul 2019 - 3:33

score 210 · Answer 10 · 2026-03-26 14:20:29

210

Views

Annular cover of a surface?

Published on 26 Mar 2026 - 14:20

score 126 · Answer 11 · 2026-03-25 08:13:44

126

Views

How the projection of third Reidemeister move is a homotopy of immersed knot diagrams?

Published on 25 Mar 2026 - 8:13

score 181 · Answer 12 · 2026-03-27 01:54:21

181

Views

Errata for $\mathrm{\TeX}$ version of Thurston's 'The Geometry and Topology of Three-Manifolds'

Published on 27 Mar 2026 - 1:54

score 257 · Answer 13 · 2026-03-25 12:48:58

257

Views

If L is a split link then L has split link diagram. Is this true?

Published on 25 Mar 2026 - 12:48

score 112 · Answer 14 · 2026-03-25 11:02:42

112

Views

Is it always possible to draw an Euler diagram with $2^n$ distinct regions?

Published on 25 Mar 2026 - 11:02

score 165 · Answer 15 · 2026-03-25 22:48:47

165

Views

Inversive geometry: is it possible to point-invert a Euclidean space and not produce a hyperbolic one?

Published on 25 Mar 2026 - 22:48

List Question

Is every $(n-1)$-connected $n$-manifold embeddable in $\mathbb{R}^{n+1}$ homeomorphic to $\mathbb{S}^{n}$?

Use a Mayer-Vietoris sequence to calculate $S^3 - K$ where $K$ is an embedding of $S^1$.

Show the quotient space of a finite collection of disjoint 2 simplices obtained by identifying pairs of edges is always a surface, locally homeomorp

Can I deform a solid cylinder to a standard one?

Is there any way to prove that the following space is a $2$-dimensional embedding manifold in $\mathbb{R}^3$?

Does Alexander's horned sphere bound a ball?

Telling the Borromean rings apart from the unlink - via $\pi_1 / \pi_1^{(n)}$

find a cochain map $ψ: A• → B•$ with a condition that $ψ^i:A^i→B^i$ is an inijective

Universal cover of $(S^1\times S^3)\# (S^1\times S^3)$

Annular cover of a surface?

How the projection of third Reidemeister move is a homotopy of immersed knot diagrams?

Errata for $\mathrm{\TeX}$ version of Thurston's 'The Geometry and Topology of Three-Manifolds'

If L is a split link then L has split link diagram. Is this true?

Is it always possible to draw an Euler diagram with $2^n$ distinct regions?

Inversive geometry: is it possible to point-invert a Euclidean space and not produce a hyperbolic one?

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