List questions from differential-topology

Published on 31 Oct 2014 - 3:34

26

Views

every $f \in F^k_p$ has a Taylor expansion

Published on 31 Oct 2014 - 5:52

210

Views

show that $R^n -X$ has at most 2 connected components.

Published on 31 Oct 2014 - 22:04

173

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Is $M$ is a compact manifold?

Published on 01 Nov 2014 - 8:07

515

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Prove that the Borsuk-Ulam theorem and following ttheorem are equivalent

Published on 01 Nov 2014 - 13:52

317

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Piecewise differentiable homotopy

Published on 01 Nov 2014 - 23:07

1k

Views

Poincare Hopf Theorem

Published on 01 Nov 2014 - 23:23

893

Views

Question on the proof of the Poincare-Hopf theorem

Published on 02 Nov 2014 - 7:30

989

Views

Prove that any map $f\colon S^1 \to S^1$ mapping antipodal point to antipodal point has $\deg_2(f)=1$ by a direct computation.

Published on 02 Nov 2014 - 13:21

2.1k

Views

Closed 1-forms implies exact 1-forms

Published on 30 Mar 2026 - 8:01

278

Views

The index of a smooth vector field is well-defined

Published on 04 Nov 2014 - 5:11

115

Views

Does the compact manifold $f=0$ resist small perturbations?

Published on 04 Nov 2014 - 10:13

113

Views

holomorphic function and simple zeros

Published on 05 Nov 2014 - 5:56

58

Views

Arbitrary Smooth structure

Published on 06 Nov 2014 - 1:24

1k

Views

Connected sum of orientable manifolds

Published on 06 Nov 2014 - 2:12

List Question

contour which can be homeomorphic?

every $f \in F^k_p$ has a Taylor expansion

show that $R^n -X$ has at most 2 connected components.

Is $M$ is a compact manifold?

Prove that the Borsuk-Ulam theorem and following ttheorem are equivalent

Piecewise differentiable homotopy

Poincare Hopf Theorem

Question on the proof of the Poincare-Hopf theorem

Prove that any map $f\colon S^1 \to S^1$ mapping antipodal point to antipodal point has $\deg_2(f)=1$ by a direct computation.

Closed 1-forms implies exact 1-forms

The index of a smooth vector field is well-defined

Does the compact manifold $f=0$ resist small perturbations?

holomorphic function and simple zeros

Arbitrary Smooth structure

Connected sum of orientable manifolds

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