List questions from differential-topology

Published on 25 Mar 2026 - 18:09

111

Views

Topological Manofold is Hausdorf, Second Countable, Locally Homeomorphic to $R^n$

Published on 26 Apr 2018 - 19:00

43

Views

Solenoid map differential.

Published on 25 Mar 2026 - 16:05

333

Views

Lifts of flows to the universal cover

Published on 25 Mar 2026 - 9:27

579

Views

Where can I find this proof of the Poincare-Hopf theorem

Published on 27 Apr 2018 - 16:49

373

Views

What does it mean for a curve to be immersed (and embedded)?

Published on 25 Mar 2026 - 13:54

50

Views

1D Topological manifold that is not $\mathcal{C}^r$?

Published on 25 Mar 2026 - 9:27

2k

Views

Show that the closed $n$-ball $B^n(a)$ is a manifold

Published on 25 Mar 2026 - 11:13

645

Views

If $k < l$ show that smooth function on $\mathbb{R}^k$ considered as a subset of $\mathbb{R}^l$ are the same as usual.

Published on 29 Apr 2018 - 0:32

101

Views

If calculus can be applied to non-numbers.

Published on 29 Apr 2018 - 3:34

1.6k

Views

Use of partitions of unity

Published on 29 Apr 2018 - 17:26

31

Views

Fully compressing a surface in a 3-manifold

Published on 25 Mar 2026 - 9:31

146

Views

A nonempty open set of $\mathbb{R}^n$ is not homeomorphism with a nonempty open set of $\mathbb{R}^n$

Published on 30 Apr 2018 - 5:18

114

Views

Smooth homotopy of proper maps

Published on 30 Apr 2018 - 8:22

1.5k

Views

Why do I care that smooth vector fields over a smooth manifold have a Lie algebra?

Published on 30 Apr 2018 - 14:34

List Question

$M$ simply connected $\implies$ every line bundle $E\to M$ is trivial

Topological Manofold is Hausdorf, Second Countable, Locally Homeomorphic to $R^n$

Solenoid map differential.

Lifts of flows to the universal cover

Where can I find this proof of the Poincare-Hopf theorem

What does it mean for a curve to be immersed (and embedded)?

1D Topological manifold that is not $\mathcal{C}^r$?

Show that the closed $n$-ball $B^n(a)$ is a manifold

If $k < l$ show that smooth function on $\mathbb{R}^k$ considered as a subset of $\mathbb{R}^l$ are the same as usual.

If calculus can be applied to non-numbers.

Use of partitions of unity

Fully compressing a surface in a 3-manifold

A nonempty open set of $\mathbb{R}^n$ is not homeomorphism with a nonempty open set of $\mathbb{R}^n$

Smooth homotopy of proper maps

Why do I care that smooth vector fields over a smooth manifold have a Lie algebra?

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