Question

Prove that for any $x,y \in$ Int $D^n$, $\exists$ homeomorphism $\phi: D^n \rightarrow D^n$ such that $\phi(a)=b$ for all $n \geq 1$, fixing boundary.

score 47 · Answer 1 · 2026-03-25 06:06:53

47

Views

Prove that for any $x,y \in$ Int $D^n$, $\exists$ homeomorphism $\phi: D^n \rightarrow D^n$ such that $\phi(a)=b$ for all $n \geq 1$, fixing boundary.

Published on 25 Mar 2026 - 6:06

score 125 · Answer 2 · 2026-03-22 05:44:30

125

Views

Using Laudenbach-Poénaru to justify Kirby diagrams

Published on 22 Mar 2026 - 5:44

score 52 · Answer 3 · 2026-03-21 22:52:57

52

Views

Let $X$ and $Y$ are copies of $S^2$ taking points $x_1,x_2 \in X$ and $y_1, y_2 \in Y$ then $\pi_1(X \bigsqcup Y/x_1\sim y_1,y_2\sim x_2 )?$

Published on 21 Mar 2026 - 22:52

score 150 · Answer 4 · 2026-03-22 12:54:04

150

Views

Exotic manifolds in three dimensions

Published on 22 Mar 2026 - 12:54

score 180 · Answer 5 · 2026-03-21 23:12:51

180

Views

Let $X$ be a topological space such that $X \times \mathbb{R}$ is homeomorphic to $\mathbb{R}^2$. Must $X$ be homeomorphic to $\mathbb{R}$?

Published on 21 Mar 2026 - 23:12

score 79 · Answer 6 · 2026-03-22 06:40:21

79

Views

Continuous Map on Compact Oriented Manifold of Higher Degree

Published on 22 Mar 2026 - 6:40

score 85 · Answer 7 · 2026-03-21 21:34:16

85

Views

Reference request: Every self-diffeomorphism of $S^3$ is isotopic to the identity

Published on 21 Mar 2026 - 21:34

score 124 · Answer 8 · 2026-02-23 04:37:09

124

Views

Constructing a pseudo-Anosov homeomorphism

Published on 23 Feb 2026 - 4:37

score 65 · Answer 9 · 2026-03-22 07:22:11

65

Views

Standard fact in knot theory

Published on 22 Mar 2026 - 7:22

score 148 · Answer 10 · 2026-03-21 21:52:47

148

Views

Any closed orientable $3$-manifold admits a Heegaard splitting

Published on 21 Mar 2026 - 21:52

score 125 · Answer 11 · 2026-03-22 04:43:11

125

Views

Stabilization of Heegaard splitting

Published on 22 Mar 2026 - 4:43

score 34 · Answer 12 · 2026-03-22 04:12:59

34

Views

Can framings on plumbed manifolds be taken to be even?

Published on 22 Mar 2026 - 4:12

score 163 · Answer 13 · 2026-03-22 08:22:43

163

Views

Is every Seifert fiber space a fiber bundle?

Published on 22 Mar 2026 - 8:22

score 158 · Answer 14 · 2026-03-22 02:36:56

158

Views

Specific isomorphism between presentations of fundamental group of figure eight knot complement

Published on 22 Mar 2026 - 2:36

score 60 · Answer 15 · 2026-02-23 04:38:28

60

Views

Isometric embedding of Teichmüller spaces

Published on 23 Feb 2026 - 4:38

List Question

Prove that for any $x,y \in$ Int $D^n$, $\exists$ homeomorphism $\phi: D^n \rightarrow D^n$ such that $\phi(a)=b$ for all $n \geq 1$, fixing boundary.

Using Laudenbach-Poénaru to justify Kirby diagrams

Let $X$ and $Y$ are copies of $S^2$ taking points $x_1,x_2 \in X$ and $y_1, y_2 \in Y$ then $\pi_1(X \bigsqcup Y/x_1\sim y_1,y_2\sim x_2 )?$

Exotic manifolds in three dimensions

Let $X$ be a topological space such that $X \times \mathbb{R}$ is homeomorphic to $\mathbb{R}^2$. Must $X$ be homeomorphic to $\mathbb{R}$?

Continuous Map on Compact Oriented Manifold of Higher Degree

Reference request: Every self-diffeomorphism of $S^3$ is isotopic to the identity

Constructing a pseudo-Anosov homeomorphism

Standard fact in knot theory

Any closed orientable $3$-manifold admits a Heegaard splitting

Stabilization of Heegaard splitting

Can framings on plumbed manifolds be taken to be even?

Is every Seifert fiber space a fiber bundle?

Specific isomorphism between presentations of fundamental group of figure eight knot complement

Isometric embedding of Teichmüller spaces

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