List questions from differential-topology

Published on 25 Mar 2026 - 9:25

30

Views

integral constraint induce a manifold on Sobolev space

Published on 25 Mar 2026 - 14:21

352

Views

A question on the non trivial rank three bundle on $S^2$

Published on 14 Jul 2016 - 9:47

221

Views

Is it true that a compact non-orientable manifold $M^n$ must have $H_{dR}^n(M)=0$?

Published on 14 Jul 2016 - 15:19

668

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Preimage of tubular neighborhood

Published on 15 Jul 2016 - 4:38

82

Views

Inequality in chapter "pontryagin construction" from Milnor's topology from the differentiable viewpoint

Published on 15 Jul 2016 - 13:38

809

Views

Broken line is NOT diffeomorphic to the real line

Published on 16 Jul 2016 - 2:13

408

Views

Local Properties of Immersions and Submersions

Published on 16 Jul 2016 - 21:13

759

Views

Restriction of a $C^{\infty}$ vector bundle over a regular submanifold.

Published on 18 Jul 2016 - 23:04

283

Views

Bounding Geodesic Curvature

Published on 18 Jul 2016 - 23:28

403

Views

Smooth path lifting on $S^1$

Published on 19 Jul 2016 - 21:22

50

Views

Describe all smooth surfaces in $\mathbb{R}^3$ with coordinates $(x,y,z)$ such that the pullback of the one-form $\theta:=dy-zdx$ is identically zero.

Published on 20 Jul 2016 - 4:19

808

Views

Fixed-point free map of the 2-sphere which has order 4

Published on 29 Mar 2026 - 7:38

358

Views

Is the set where the exponential map is defined an open subset of $TM$?

Published on 06 Apr 2026 - 0:17

83

Views

Construct a diffeomorphism $\psi: B_1 \to \epsilon\text{-neighborhood of } K$, where $K$ is a subset of a smooth manifold.

Published on 22 Jul 2016 - 13:17

List Question

Hopf fibration homeomorphism injectivity

integral constraint induce a manifold on Sobolev space

A question on the non trivial rank three bundle on $S^2$

Is it true that a compact non-orientable manifold $M^n$ must have $H_{dR}^n(M)=0$?

Preimage of tubular neighborhood

Inequality in chapter "pontryagin construction" from Milnor's topology from the differentiable viewpoint

Broken line is NOT diffeomorphic to the real line

Local Properties of Immersions and Submersions

Restriction of a $C^{\infty}$ vector bundle over a regular submanifold.

Bounding Geodesic Curvature

Smooth path lifting on $S^1$

Describe all smooth surfaces in $\mathbb{R}^3$ with coordinates $(x,y,z)$ such that the pullback of the one-form $\theta:=dy-zdx$ is identically zero.

Fixed-point free map of the 2-sphere which has order 4

Is the set where the exponential map is defined an open subset of $TM$?

Construct a diffeomorphism $\psi: B_1 \to \epsilon\text{-neighborhood of } K$, where $K$ is a subset of a smooth manifold.

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