Question

Fundamental theorem of calculus in higher dimensions?

score 409 · Answer 1 · 2026-04-08 09:55:00

409

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Fundamental theorem of calculus in higher dimensions?

Published on 08 Apr 2026 - 9:55

score 3.4k · Answer 2 · 2026-03-28 05:28:44

3.4k

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How to prove: Real projective plane is a manifold

Published on 28 Mar 2026 - 5:28

score 1.5k · Answer 3 · 2026-04-07 02:01:37

1.5k

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Example of two atlases on a manifold $M$ which give rise to different sets of smooth functions on $M$.

Published on 07 Apr 2026 - 2:01

score 284 · Answer 4 · 2026-03-28 14:37:47

284

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structural (algebraic) sheaf on a Riemann surface "inside" the sheaf of holomorphic functions

Published on 28 Mar 2026 - 14:37

score 219 · Answer 5 · 2016-09-25 18:32:10

219

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On a characterization of tangent spaces of submanifolds

Published on 25 Sep 2016 - 18:32

score 1.3k · Answer 6 · 2026-04-08 18:20:29

1.3k

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Unique manifold structure and differentiable structure on submanifold

Published on 08 Apr 2026 - 18:20

score 174 · Answer 7 · 2016-09-26 15:28:06

174

Views

Given a manifold sub-atlas is the differentiable structure unique?

Published on 26 Sep 2016 - 15:28

score 416 · Answer 8 · 2016-09-27 02:12:06

416

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Manifold without point homotopy equivalent to wedge of $2$-spheres.

Published on 27 Sep 2016 - 2:12

score 1.8k · Answer 9 · 2016-09-28 00:20:48

1.8k

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Closed subset of a manifold is a submanifold if there exists a smooth retract.

Published on 28 Sep 2016 - 0:20

score 1k · Answer 10 · 2026-04-08 12:20:50

1k

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topological structure on smooth manifolds

Published on 08 Apr 2026 - 12:20

score 388 · Answer 11 · 2016-09-29 11:59:50

388

Views

Union of open sets homeomorphic to $\mathbb{R}$

Published on 29 Sep 2016 - 11:59

score 247 · Answer 12 · 2026-03-26 09:42:22

247

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Does a metric tensor imply the existence of a manifold?

Published on 26 Mar 2026 - 9:42

score 3.5k · Answer 13 · 2016-09-29 17:35:27

3.5k

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Show that, if $U\subseteq \mathbb{R}^n$ is connected and open, and $f:U\rightarrow \mathbb{R}$ is differentiable with $Df=0$, show $f$ is constant

Published on 29 Sep 2016 - 17:35

score 325 · Answer 14 · 2026-04-07 03:35:15

325

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When is a chart on an atlas a homeomorphism

Published on 07 Apr 2026 - 3:35

score 49 · Answer 15 · 2026-04-07 03:35:01

49

Views

Theorem on $C^r$ related charts

Published on 07 Apr 2026 - 3:35

List Question

Fundamental theorem of calculus in higher dimensions?

How to prove: Real projective plane is a manifold

Example of two atlases on a manifold $M$ which give rise to different sets of smooth functions on $M$.

structural (algebraic) sheaf on a Riemann surface "inside" the sheaf of holomorphic functions

On a characterization of tangent spaces of submanifolds

Unique manifold structure and differentiable structure on submanifold

Given a manifold sub-atlas is the differentiable structure unique?

Manifold without point homotopy equivalent to wedge of $2$-spheres.

Closed subset of a manifold is a submanifold if there exists a smooth retract.

topological structure on smooth manifolds

Union of open sets homeomorphic to $\mathbb{R}$

Does a metric tensor imply the existence of a manifold?

Show that, if $U\subseteq \mathbb{R}^n$ is connected and open, and $f:U\rightarrow \mathbb{R}$ is differentiable with $Df=0$, show $f$ is constant

When is a chart on an atlas a homeomorphism

Theorem on $C^r$ related charts

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