List questions from manifolds

Published on 13 Apr 2026 - 8:35

387

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When is the inverse image of continuous function a submanifold

Published on 13 Apr 2026 - 0:49

139

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Show that $c(t)_{c(t)}$ and the tangent vector to $c$ at $t$ is perpendicular.

Published on 15 Apr 2026 - 8:10

868

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$M$ not orientable implying results about $H_{n-1}(M, \mathbb{Z})$, $H_n(M, \mathbb{Z}_q)$?

Published on 09 Apr 2026 - 1:55

114

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Is the set of points where two functions agree a submanifold?

Published on 25 Apr 2026 - 8:06

139

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Is the union of an increasing sequence of topological copies of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$?

Published on 03 Apr 2026 - 0:34

3.7k

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(Anti-) Holomorphic significance?

Published on 04 Apr 2026 - 13:02

94

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Example of germs not involving series

Published on 25 Apr 2026 - 8:06

64

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Existence a path of a smooth manifold

Published on 29 Apr 2026 - 16:16

2.1k

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embeddings of projective spaces into Euclidean spaces

Published on 30 Mar 2026 - 20:53

3.1k

Views

Product of smooth maps from $M \to \mathbb{R}$ is smooth

Published on 15 Apr 2026 - 11:26

343

Views

Check that F*(Xp) is a derivation at F(p)

Published on 30 Mar 2026 - 17:00

26

Views

Path on a manifold has interval contained inside open ball

Published on 14 Apr 2026 - 18:51

954

Views

Tangent spaces, how are vectors parallel transported?

Published on 29 Apr 2026 - 17:17

488

Views

Compact $n$-manifold has same integral cohomology as $S^n$?

Published on 23 Nov 2015 - 11:06

List Question

$M$ orientable implies $H_{n-1}(M, \mathbb{Z})$ is free Abelian group.

When is the inverse image of continuous function a submanifold

Show that $c(t)_{c(t)}$ and the tangent vector to $c$ at $t$ is perpendicular.

$M$ not orientable implying results about $H_{n-1}(M, \mathbb{Z})$, $H_n(M, \mathbb{Z}_q)$?

Is the set of points where two functions agree a submanifold?

Is the union of an increasing sequence of topological copies of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$?

(Anti-) Holomorphic significance?

Example of germs not involving series

Existence a path of a smooth manifold

embeddings of projective spaces into Euclidean spaces

Product of smooth maps from $M \to \mathbb{R}$ is smooth

Check that F*(Xp) is a derivation at F(p)

Path on a manifold has interval contained inside open ball

Tangent spaces, how are vectors parallel transported?

Compact $n$-manifold has same integral cohomology as $S^n$?

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