List questions from differential-topology

Published on 09 Apr 2026 - 15:35

59

Views

$f$ is either regular or $df_x = 0$.

Published on 17 Apr 2026 - 6:23

114

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If $f(x)$ is an extreme value, why $f$ cannot be a coordinate function?

Published on 11 Apr 2026 - 17:00

570

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Homology of the 3-torus

Published on 11 Apr 2026 - 3:24

759

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The proof in textbook on The Transversality Theorem

Published on 12 Apr 2026 - 9:39

144

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F is a submersion of $X \times S$, and for a fixed $x$.

Published on 14 Apr 2026 - 19:10

627

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Is [0,1] closed?

Published on 10 Apr 2026 - 18:15

139

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Transverse a single point

Published on 12 Apr 2026 - 18:46

549

Views

Finite set on compact manifolds

Published on 08 Apr 2026 - 2:40

898

Views

Prove that a compact cone is not diffeomorphic to the 2-sphere

Published on 12 Apr 2026 - 12:30

169

Views

What does the notation $\epsilon(f(x))s$ mean?

Published on 14 Apr 2026 - 21:11

79

Views

Let $f:S^1\rightarrow \mathbb{R}^3$ be a smooth map with $df_x \neq 0$, for all $x \in S^1$.

Published on 15 Apr 2026 - 20:39

108

Views

What happens in dimension 125?

Published on 25 Mar 2026 - 20:34

67

Views

Computing group of exotic spheres

Published on 26 Mar 2026 - 2:54

50

Views

For what values of $r$ and $b$ is $X ∩ Y$ a smooth manifold? When it is a manifold, what is its dimension?

Published on 16 Apr 2026 - 15:14

List Question

Help with Kervaire paper

$f$ is either regular or $df_x = 0$.

If $f(x)$ is an extreme value, why $f$ cannot be a coordinate function?

Homology of the 3-torus

The proof in textbook on The Transversality Theorem

F is a submersion of $X \times S$, and for a fixed $x$.

Is [0,1] closed?

Transverse a single point

Finite set on compact manifolds

Prove that a compact cone is not diffeomorphic to the 2-sphere

What does the notation $\epsilon(f(x))s$ mean?

Let $f:S^1\rightarrow \mathbb{R}^3$ be a smooth map with $df_x \neq 0$, for all $x \in S^1$.

What happens in dimension 125?

Computing group of exotic spheres

For what values of $r$ and $b$ is $X ∩ Y$ a smooth manifold? When it is a manifold, what is its dimension?

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