List questions from differential-topology

Published on 13 Apr 2026 - 13:57

73

Views

Inclusion from $S_1$ to $\mathbb{R}^2$ is smooth.

Published on 11 Apr 2026 - 5:11

230

Views

If $i : N \rightarrow M$ is an injective immersion, find a $i$-linked vector field $Y$ to $X$

Published on 15 Apr 2026 - 7:28

161

Views

Extending Morse functions from codimension $\geq$ 2 submanifolds

Published on 12 Apr 2026 - 11:51

85

Views

Show that 1 is a regular value of f. Identify the manifold $M=f^{-1}(1)$.

Published on 16 Apr 2026 - 9:31

84

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Torsion in fundamental groups of compliments of codimension 2-submanifolds of spheres

Published on 14 Apr 2026 - 11:59

418

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A smooth topological embedding that is not a smooth embedding

Published on 11 Apr 2026 - 6:23

161

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Show $T_p M$ is isomorphic to $D_p(M)$.

Published on 17 Apr 2026 - 0:40

2k

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properly embedded submanifold

Published on 12 Apr 2026 - 4:35

101

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Charts as Coset Space?

Published on 12 Apr 2026 - 17:56

265

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Prove equivalence of definitions of submanifolds

Published on 09 Apr 2026 - 16:29

1.5k

Views

Is $x^2 = y ^2$ an immersed submanifold of $\mathbb{R}^2$?

Published on 13 Apr 2026 - 19:23

367

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Explicit description of Poincare dual of graph?

Published on 09 Apr 2026 - 12:03

92

Views

Does this knot invariant have a name?

Published on 10 Apr 2026 - 3:14

229

Views

Diffeomorphism from level sets onto spheres

Published on 26 Mar 2026 - 19:15

List Question

Diffeomorphism group and covering spaces

Inclusion from $S_1$ to $\mathbb{R}^2$ is smooth.

If $i : N \rightarrow M$ is an injective immersion, find a $i$-linked vector field $Y$ to $X$

Extending Morse functions from codimension $\geq$ 2 submanifolds

Show that 1 is a regular value of f. Identify the manifold $M=f^{-1}(1)$.

Torsion in fundamental groups of compliments of codimension 2-submanifolds of spheres

A smooth topological embedding that is not a smooth embedding

Show $T_p M$ is isomorphic to $D_p(M)$.

properly embedded submanifold

Charts as Coset Space?

Prove equivalence of definitions of submanifolds

Is $x^2 = y ^2$ an immersed submanifold of $\mathbb{R}^2$?

Explicit description of Poincare dual of graph?

Does this knot invariant have a name?

Diffeomorphism from level sets onto spheres

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