List questions from differential-topology

Published on 12 Apr 2026 - 19:37

865

Views

Defining a quotient manifold with gluing

Published on 13 Apr 2026 - 16:25

115

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The space of paths

Published on 10 Apr 2026 - 23:32

2.4k

Views

Why is a vector space equal to its tangent space for any point?

Published on 16 Apr 2026 - 1:41

4.1k

Views

The differential of the inclusion map is the inclusion map of tangent spaces.

Published on 14 Apr 2026 - 22:55

450

Views

Locally Euclidean but not topological manifold

Published on 17 Apr 2026 - 9:35

763

Views

Products of homeomorphisms

Published on 12 Apr 2026 - 23:34

3.5k

Views

Diffeomorphism and determinant of Jacobian

Published on 12 Apr 2026 - 23:16

898

Views

does composition of maps is smooth and one map is smooth imply the other is also smooth?

Published on 13 Apr 2026 - 23:01

1k

Views

Extending diffeomorphism to disk

Published on 09 Apr 2026 - 3:08

807

Views

The degree of every smooth map $\mathbb{R}^n \to \mathbb{R}^n$ is one...

Published on 14 Apr 2026 - 15:13

1.1k

Views

Is there any standard N-sphere that has non-trivial first Pontryagin class?

Published on 13 Apr 2026 - 2:33

278

Views

Maximal submanifold

Published on 17 Apr 2026 - 1:09

387

Views

What's wrong with my argument to compute the vector bundles on $S^1$?

Published on 14 Apr 2026 - 21:17

134

Views

Moduli space of stable principal $SL(2, {\mathbb C})$-bundles on a compact Riemann surface.

Published on 11 Apr 2026 - 10:11

List Question

Functions from $[E_8]$ to $E_8$

Defining a quotient manifold with gluing

The space of paths

Why is a vector space equal to its tangent space for any point?

The differential of the inclusion map is the inclusion map of tangent spaces.

Locally Euclidean but not topological manifold

Products of homeomorphisms

Diffeomorphism and determinant of Jacobian

does composition of maps is smooth and one map is smooth imply the other is also smooth?

Extending diffeomorphism to disk

The degree of every smooth map $\mathbb{R}^n \to \mathbb{R}^n$ is one...

Is there any standard N-sphere that has non-trivial first Pontryagin class?

Maximal submanifold

What's wrong with my argument to compute the vector bundles on $S^1$?

Moduli space of stable principal $SL(2, {\mathbb C})$-bundles on a compact Riemann surface.

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