List questions from differential-topology

Published on 15 May 2026 - 10:10

472

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$x^2+y^2-z^2=0$ is not a manifold in $\mathbb{R}^3$.

Published on 24 Apr 2026 - 0:47

103

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Signature is independent of the Riemannian metric chosen

Published on 16 Apr 2026 - 4:19

45

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Properties of $Spin^{\mathbb{C}}$ structures

Published on 16 May 2026 - 8:21

91

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The proof of the dimension of the tangent space $T_x(X)$ of a $k$-dimensional manifold is $k$.

Published on 15 Apr 2026 - 10:23

156

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Transversality if and only if a regular value

Published on 11 May 2026 - 6:28

113

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Prove if $\phi: \mathbb{S}^n \longrightarrow \mathbb{R}$ is differentiable then its derivates are zero

Published on 15 Apr 2026 - 13:41

107

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What does W A M mean in Milnor's book?

Published on 15 Apr 2026 - 12:53

392

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System of equations that determine manifolds

Published on 13 Apr 2026 - 19:25

74

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Re-defining a map after annulus removal from the torus

Published on 12 Apr 2026 - 3:23

113

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Veronese Surface is a submanifold

Published on 16 Apr 2026 - 12:21

258

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Circle action with a single fixed point

Published on 15 Apr 2026 - 15:55

119

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Existence of a smooth map

Published on 13 Apr 2026 - 15:51

93

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Let $M$ a smooth manifold,$ \ p \in M$, $x\in \mathbb{R}^{n}$ and a linear map $L:T_{p}M\to\mathbb{R}^{n}.$ Show that exist some differentiable

Published on 16 Apr 2026 - 13:32

42

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Let $(M, \tau)$ a topological space, $N$ a smooth manifold and $f: M \to N$ a continuous map. If exists an maximal atlas on $M$ such that

Published on 16 Apr 2026 - 13:32

List Question

A comparison between the differentiable manifolds definitions along books

$x^2+y^2-z^2=0$ is not a manifold in $\mathbb{R}^3$.

Signature is independent of the Riemannian metric chosen

Properties of $Spin^{\mathbb{C}}$ structures

The proof of the dimension of the tangent space $T_x(X)$ of a $k$-dimensional manifold is $k$.

Transversality if and only if a regular value

Prove if $\phi: \mathbb{S}^n \longrightarrow \mathbb{R}$ is differentiable then its derivates are zero

What does W A M mean in Milnor's book?

System of equations that determine manifolds

Re-defining a map after annulus removal from the torus

Veronese Surface is a submanifold

Circle action with a single fixed point

Existence of a smooth map

Let $M$ a smooth manifold,$ \ p \in M$, $x\in \mathbb{R}^{n}$ and a linear map $L:T_{p}M\to\mathbb{R}^{n}.$ Show that exist some differentiable

Let $(M, \tau)$ a topological space, $N$ a smooth manifold and $f: M \to N$ a continuous map. If exists an maximal atlas on $M$ such that

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