List questions from differential-topology

Published on 25 Mar 2026 - 23:33

72

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intended solution for G&P S1.1

Published on 07 May 2018 - 19:32

677

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Is any map homotopic to a map having fixed point?

Published on 09 May 2018 - 9:02

1.8k

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How to interpret the space of quadratic differentials as a cotangent space?

Published on 22 Mar 2026 - 18:12

578

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Quotient space is second countable

Published on 25 Mar 2026 - 4:53

260

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How can I understand the fundamental theorem of line integrals in terms of differential forms on manifolds?

Published on 10 May 2018 - 0:10

77

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Counter-example to G&P exercise

Published on 10 May 2018 - 15:16

72

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Question concerning the proof of Theorem 20.16 in Lee‘s Introduction to smooth manifolds (Fundamental Theorem on Lie Algebra Actions)

Published on 10 May 2018 - 19:25

114

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Is the image of the map $A \to \bigwedge^{k}A $ an embedded submanifold of $\text{GL}(\bigwedge^{k}V)$?

Published on 25 Mar 2026 - 1:18

1.6k

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Example of an incompressible vector field on $\mathbb{R}^3 \setminus 0$ without a vector potential

Published on 12 May 2018 - 12:08

411

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Showing $L(p,1)$ (lens space) is a Smooth Manifold and Computing its de Rham Groups

Published on 12 May 2018 - 18:15

469

Views

Matrix representation of injective/surjective map from Rn to Rm

Published on 14 May 2018 - 1:43

1.9k

Views

Differentiable atlas for infinite Mobius strip

Published on 15 May 2018 - 14:26

800

Views

Derivative is surjective if each row vector in the jacobian are linearly independent?

Published on 16 May 2018 - 5:54

300

Views

Linking number of two manifolds

Published on 17 May 2018 - 16:46

List Question

$H^1(S^1)\cong \mathbb{R}$ from definition

intended solution for G&P S1.1

Is any map homotopic to a map having fixed point?

How to interpret the space of quadratic differentials as a cotangent space?

Quotient space is second countable

How can I understand the fundamental theorem of line integrals in terms of differential forms on manifolds?

Counter-example to G&P exercise

Question concerning the proof of Theorem 20.16 in Lee‘s Introduction to smooth manifolds (Fundamental Theorem on Lie Algebra Actions)

Is the image of the map $A \to \bigwedge^{k}A $ an embedded submanifold of $\text{GL}(\bigwedge^{k}V)$?

Example of an incompressible vector field on $\mathbb{R}^3 \setminus 0$ without a vector potential

Showing $L(p,1)$ (lens space) is a Smooth Manifold and Computing its de Rham Groups

Matrix representation of injective/surjective map from Rn to Rm

Differentiable atlas for infinite Mobius strip

Derivative is surjective if each row vector in the jacobian are linearly independent?

Linking number of two manifolds

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