List questions from differential-topology

Published on 05 Nov 2016 - 9:16

75

Views

Compatible maps in $\mathbb{R}$

Published on 05 Nov 2016 - 14:31

413

Views

Doubts on definition of the Lie derivative

Published on 26 Mar 2026 - 9:46

994

Views

Guillemin's Differential Topology - Prove S1 is not simply connected

Published on 06 Nov 2016 - 4:36

42

Views

If $\mbox{rank}_{x}F\neq 0$ for all $x\in \mathbb{R}^{2}$, then there is a countable family of compact sets covering $\mathbb{R}^{2}$.

Published on 07 Apr 2026 - 11:18

1.9k

Views

Condition for immersed but not embedded submanifold?

Published on 07 Nov 2016 - 11:59

72

Views

How can I see mathematically that these two singularities are different?

Published on 25 Mar 2026 - 10:15

42

Views

Compute the integral $\int_{S^2} zdx\wedge dy$ in two ways

Published on 07 Nov 2016 - 17:29

587

Views

Limit definition of the exterior derivative

Published on 01 Apr 2026 - 22:27

125

Views

Analog of Gauss-Bonnet formula for principal bundles over manifolds with boundary

Published on 25 Mar 2026 - 20:36

386

Views

Are holomorphic functions between Riemann surfaces continuous?

Published on 08 Nov 2016 - 3:15

136

Views

Is there a natural Riemannian metric on the space of smooth immersions into a Riemannian manifold?

Published on 09 Nov 2016 - 10:40

216

Views

High-dimensional version of Borel's Lemma as a corollary of Whitney's extension theorem

Published on 23 Feb 2026 - 2:50

2.6k

Views

Isometry of Torus

Published on 26 Mar 2026 - 21:25

399

Views

Why is the degree of the antipodal map $S^n\rightarrow S^n$ equal to $(-1)^{n+1}$ and not $(-1)^n$?

Published on 10 Nov 2016 - 0:40

List Question

what is the difference between a differential structure and a maximal atlas?

Compatible maps in $\mathbb{R}$

Doubts on definition of the Lie derivative

Guillemin's Differential Topology - Prove S1 is not simply connected

If $\mbox{rank}_{x}F\neq 0$ for all $x\in \mathbb{R}^{2}$, then there is a countable family of compact sets covering $\mathbb{R}^{2}$.

Condition for immersed but not embedded submanifold?

How can I see mathematically that these two singularities are different?

Compute the integral $\int_{S^2} zdx\wedge dy$ in two ways

Limit definition of the exterior derivative

Analog of Gauss-Bonnet formula for principal bundles over manifolds with boundary

Are holomorphic functions between Riemann surfaces continuous?

Is there a natural Riemannian metric on the space of smooth immersions into a Riemannian manifold?

High-dimensional version of Borel's Lemma as a corollary of Whitney's extension theorem

Isometry of Torus

Why is the degree of the antipodal map $S^n\rightarrow S^n$ equal to $(-1)^{n+1}$ and not $(-1)^n$?

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