List questions from differential-topology

Published on 26 Mar 2026 - 9:14

420

Views

Apply the theorem of tubular neighborhood

Published on 11 Oct 2014 - 3:49

158

Views

Canonical projection on submanifold $M^k $ over a hyperplane $H^{n}$ is immersion

Published on 12 Oct 2014 - 4:13

311

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Hausdorff property of $\mathbb{RP}^n$ from unusual definition

Published on 12 Oct 2014 - 10:09

1.5k

Views

Prove that$ H_x (X)$ does not depend on the choice of local parametrization.

Published on 12 Oct 2014 - 14:34

551

Views

Prove isomorphism of fundamental groups

Published on 12 Oct 2014 - 15:09

734

Views

Prove that the Brouwer theorem is false for the open ball $|x|^2 <a$

Published on 12 Oct 2014 - 22:22

1.3k

Views

Find a map of the solid torus into itself having no fixed point. Where does the proof of the Brouwer theorem fail.

Published on 13 Oct 2014 - 17:14

264

Views

Show every $f_t$ is Morse for $t$ is sufficiently small

Published on 13 Oct 2014 - 23:06

428

Views

Partial derivatives on Manifolds

Published on 02 Apr 2026 - 13:08

124

Views

Definition of topological manifold

Published on 15 Oct 2014 - 1:53

248

Views

cup product of stiefel-whitney class

Published on 25 Mar 2026 - 22:26

67

Views

Let $\pi: E \to M$ a vector bundle. Is $E$ a direct summnad of $M\times\mathbb{R}^{d}$, for some $d$?

Published on 25 Mar 2026 - 14:22

935

Views

Whitney sum of smooth vector bundles

Published on 15 Oct 2014 - 23:33

408

Views

Existence of transversal intersection for $M$ submanifold and of some hyperplane.

Published on 16 Oct 2014 - 7:59

List Question

does a commutative diagram implies pull-back?

Apply the theorem of tubular neighborhood

Canonical projection on submanifold $M^k $ over a hyperplane $H^{n}$ is immersion

Hausdorff property of $\mathbb{RP}^n$ from unusual definition

Prove that$ H_x (X)$ does not depend on the choice of local parametrization.

Prove isomorphism of fundamental groups

Prove that the Brouwer theorem is false for the open ball $|x|^2 <a$

Find a map of the solid torus into itself having no fixed point. Where does the proof of the Brouwer theorem fail.

Show every $f_t$ is Morse for $t$ is sufficiently small

Partial derivatives on Manifolds

Definition of topological manifold

cup product of stiefel-whitney class

Let $\pi: E \to M$ a vector bundle. Is $E$ a direct summnad of $M\times\mathbb{R}^{d}$, for some $d$?

Whitney sum of smooth vector bundles

Existence of transversal intersection for $M$ submanifold and of some hyperplane.

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