Question

prove that $supp(π^{∗} f) = (supp f)×N.$ Please can you check my answer? Also more explanation please.

score 62 · Answer 1 · 2026-04-16 00:41:40

62

Views

prove that $supp(π^{∗} f) = (supp f)×N.$ Please can you check my answer? Also more explanation please.

Published on 16 Apr 2026 - 0:41

score 378 · Answer 2 · 2026-04-29 07:34:35

378

Views

When is a topological space a manifold?

Published on 29 Apr 2026 - 7:34

score 1k · Answer 3 · 2026-04-10 06:39:53

1k

Views

Transition formula for 1-forms on Loring W. Tu

Published on 10 Apr 2026 - 6:39

score 110 · Answer 4 · 2026-05-05 10:25:31

110

Views

Find a $1$-form $ω$ on $\mathbb R^2 −\{(0,0)\}$ such that $ω(X) = 1$ and $ω(Y) = 0$.

Published on 05 May 2026 - 10:25

score 146 · Answer 5 · 2026-04-17 10:47:29

146

Views

How do I show that $F^{∗}(dx∧dy∧dz) = ρ^{2} \sin φ dρ∧dφ∧dθ$.

Published on 17 Apr 2026 - 10:47

score 1.8k · Answer 6 · 2026-03-25 14:28:47

1.8k

Views

A question about Möbius strip

Published on 25 Mar 2026 - 14:28

score 838 · Answer 7 · 2026-03-26 19:23:37

838

Views

Center Manifold Theorem

Published on 26 Mar 2026 - 19:23

score 288 · Answer 8 · 2026-04-11 05:00:03

288

Views

Partitions of unity and bump function

Published on 11 Apr 2026 - 5:00

score 155 · Answer 9 · 2026-04-16 20:04:56

155

Views

$F(x,y) = (x^2 +y^2,xy)$. compute $F^{∗}(u \, du+v \, dv)$

Published on 16 Apr 2026 - 20:04

score 136 · Answer 10 · 2026-04-14 02:16:19

136

Views

Algebraic surface as a smooth manifold

Published on 14 Apr 2026 - 2:16

score 2.4k · Answer 11 · 2026-04-16 09:10:00

2.4k

Views

Classifying vector bundles

Published on 16 Apr 2026 - 9:10

score 324 · Answer 12 · 2026-04-29 07:40:56

324

Views

If $S\times\mathbb{R}$ is homeomorphic to $T\times\mathbb{R}$, and $S$ and $T$ are compact, can we conclude that $S$ and $T$ are homeomorphic?

Published on 29 Apr 2026 - 7:40

score 474 · Answer 13 · 2026-04-16 19:05:25

474

Views

Figure $\infty$ is immersion of circle

Published on 16 Apr 2026 - 19:05

score 5.1k · Answer 14 · 2026-04-15 18:36:04

5.1k

Views

How to decide whether F is orientation-preserving or orientation-reversing as a diffeomorphism onto its image.

Published on 15 Apr 2026 - 18:36

score 2.7k · Answer 15 · 2026-04-15 11:16:14

2.7k

Views

Show that the zero set of $f$ is an orientable submanifold of $\Bbb R^{n+1}$.

Published on 15 Apr 2026 - 11:16

List Question

prove that $supp(π^{∗} f) = (supp f)×N.$ Please can you check my answer? Also more explanation please.

When is a topological space a manifold?

Transition formula for 1-forms on Loring W. Tu

Find a $1$-form $ω$ on $\mathbb R^2 −\{(0,0)\}$ such that $ω(X) = 1$ and $ω(Y) = 0$.

How do I show that $F^{∗}(dx∧dy∧dz) = ρ^{2} \sin φ dρ∧dφ∧dθ$.

A question about Möbius strip

Center Manifold Theorem

Partitions of unity and bump function

$F(x,y) = (x^2 +y^2,xy)$. compute $F^{∗}(u \, du+v \, dv)$

Algebraic surface as a smooth manifold

Classifying vector bundles

If $S\times\mathbb{R}$ is homeomorphic to $T\times\mathbb{R}$, and $S$ and $T$ are compact, can we conclude that $S$ and $T$ are homeomorphic?

Figure $\infty$ is immersion of circle

How to decide whether F is orientation-preserving or orientation-reversing as a diffeomorphism onto its image.

Show that the zero set of $f$ is an orientable submanifold of $\Bbb R^{n+1}$.

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