List questions from differential-topology

Published on 10 Jul 2019 - 14:57

420

Views

Normal Bundle over Transverse Intersection

Published on 25 Mar 2026 - 12:45

723

Views

Show the quotient space of a finite collection of disjoint 2 simplices obtained by identifying pairs of edges is always a surface, locally homeomorp

Published on 27 Mar 2026 - 11:49

497

Views

A question about atlas for an ellipsoid using $S^2$ atlas and another question regarding diffeomorphisms between two connected open sets in $R^n$

Published on 14 Jul 2019 - 19:44

243

Views

tangent bundle projection is $C^{\infty}$ even though the manifold is only $C^{k+1}$?

Published on 25 Mar 2026 - 4:40

457

Views

Not understanding the definition of a differential of a map.

Published on 16 Jul 2019 - 16:51

157

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I do not understand the definition of Hopf fibrations?

Published on 16 Jul 2019 - 20:05

139

Views

de Rham cohomology groups with compact support

Published on 17 Jul 2019 - 10:59

558

Views

Differential structure on regular submanifold vs. embedded submanifold

Published on 25 Mar 2026 - 9:05

136

Views

Extending a smooth 1-form

Published on 29 Mar 2026 - 3:20

276

Views

Diffeomorphism between the torus $T^2$ and $f^{-1}(0)$

Published on 18 Jul 2019 - 11:42

171

Views

Is there any way to prove that the following space is a $2$-dimensional embedding manifold in $\mathbb{R}^3$?

Published on 25 Mar 2026 - 9:43

991

Views

Are manifold subsets submanifolds?

Published on 19 Jul 2019 - 9:21

1k

Views

How we show that $Z := \{(x, y, z) ∈ R^3 | x^2 + y^2 − z^2 = 0\}$ is not a manifold (even it is not a topology manifold)

Published on 19 Jul 2019 - 10:50

2.1k

Views

What is/are the definitions of local diffeomorphism onto image?

Published on 20 Jul 2019 - 12:14

List Question

Mapping degree of a real analytic map

Normal Bundle over Transverse Intersection

Show the quotient space of a finite collection of disjoint 2 simplices obtained by identifying pairs of edges is always a surface, locally homeomorp

A question about atlas for an ellipsoid using $S^2$ atlas and another question regarding diffeomorphisms between two connected open sets in $R^n$

tangent bundle projection is $C^{\infty}$ even though the manifold is only $C^{k+1}$?

Not understanding the definition of a differential of a map.

I do not understand the definition of Hopf fibrations?

de Rham cohomology groups with compact support

Differential structure on regular submanifold vs. embedded submanifold

Extending a smooth 1-form

Diffeomorphism between the torus $T^2$ and $f^{-1}(0)$

Is there any way to prove that the following space is a $2$-dimensional embedding manifold in $\mathbb{R}^3$?

Are manifold subsets submanifolds?

How we show that $Z := \{(x, y, z) ∈ R^3 | x^2 + y^2 − z^2 = 0\}$ is not a manifold (even it is not a topology manifold)

What is/are the definitions of local diffeomorphism onto image?

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