Question

What is the space obtained by identifying boundary $\mathbb T^2$ of a solid torus

score 881 · Answer 1 · 2026-04-14 13:54:57

881

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What is the space obtained by identifying boundary $\mathbb T^2$ of a solid torus

Published on 14 Apr 2026 - 13:54

score 210 · Answer 2 · 2026-04-15 16:35:45

210

Views

Use of directional derivative in this proof that $\operatorname{O}(n)$ is a manifold

Published on 15 Apr 2026 - 16:35

score 394 · Answer 3 · 2026-04-11 10:37:49

394

Views

Why positive definite metric is necessary to define a topology

Published on 11 Apr 2026 - 10:37

score 176 · Answer 4 · 2026-04-16 05:44:02

176

Views

Using the pullback to compute $f^*\mathrm d x$ where $f(r,\theta)=(x,y)=(r\cos\theta,r\sin\theta)$

Published on 16 Apr 2026 - 5:44

score 148 · Answer 5 · 2026-04-12 07:00:42

148

Views

Is the $\alpha$-curve a topological submanifold of $\mathbb{R}^2$

Published on 12 Apr 2026 - 7:00

score 243 · Answer 6 · 2026-03-06 08:13:13

243

Views

A posteriori measures of numerical dissipation and dispersion

Published on 06 Mar 2026 - 8:13

score 52 · Answer 7 · 2026-04-15 15:13:32

52

Views

Derivation of $f\in \mathcal C^1(M,N)$ where $M,N$ are smooth manifold.

Published on 15 Apr 2026 - 15:13

score 131 · Answer 8 · 2026-04-16 06:09:22

131

Views

Prove S is a manifold.

Published on 16 Apr 2026 - 6:09

score 122 · Answer 9 · 2026-03-31 03:31:16

122

Views

Are the two standard descriptions of $\mathbb{C}P^{\infty}$ (topologically) equivalent?

Published on 31 Mar 2026 - 3:31

score 150 · Answer 10 · 2026-04-11 03:32:08

150

Views

How does the solution of a differential equation on a manifold yield a map?

Published on 11 Apr 2026 - 3:32

score 54 · Answer 11 · 2026-04-13 03:29:41

54

Views

Is this subset of $\mathbb{R}^{3}$ a topological manifold?

Published on 13 Apr 2026 - 3:29

score 2.2k · Answer 12 · 2026-04-25 19:40:43

2.2k

Views

For $n$ even, antipodal map of $S^n$ is homotopic to reflection and has degree $-1$?

Published on 25 Apr 2026 - 19:40

score 88 · Answer 13 · 2026-04-25 19:40:30

88

Views

convergence in the $C^r$-topology on $C^r(M,N)$ for $M$, $N$ compact manifolds

Published on 25 Apr 2026 - 19:40

score 70 · Answer 14 · 2026-04-15 03:01:50

70

Views

Map from $\mathbb{R}^3 \rightarrow \mathbb{R}^6$ is Immersion for...

Published on 15 Apr 2026 - 3:01

score 1.2k · Answer 15 · 2026-04-15 23:59:49

1.2k

Views

Möbius strip parameterization and charts

Published on 15 Apr 2026 - 23:59

List Question

What is the space obtained by identifying boundary $\mathbb T^2$ of a solid torus

Use of directional derivative in this proof that $\operatorname{O}(n)$ is a manifold

Why positive definite metric is necessary to define a topology

Using the pullback to compute $f^*\mathrm d x$ where $f(r,\theta)=(x,y)=(r\cos\theta,r\sin\theta)$

Is the $\alpha$-curve a topological submanifold of $\mathbb{R}^2$

A posteriori measures of numerical dissipation and dispersion

Derivation of $f\in \mathcal C^1(M,N)$ where $M,N$ are smooth manifold.

Prove S is a manifold.

Are the two standard descriptions of $\mathbb{C}P^{\infty}$ (topologically) equivalent?

How does the solution of a differential equation on a manifold yield a map?

Is this subset of $\mathbb{R}^{3}$ a topological manifold?

For $n$ even, antipodal map of $S^n$ is homotopic to reflection and has degree $-1$?

convergence in the $C^r$-topology on $C^r(M,N)$ for $M$, $N$ compact manifolds

Map from $\mathbb{R}^3 \rightarrow \mathbb{R}^6$ is Immersion for...

Möbius strip parameterization and charts

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