List questions from differential-topology

Published on 25 Mar 2026 - 12:47

103

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Continuous map from the plane $\mathbb{R}^2$ to a polygon with $n$ vertices.

Published on 27 Mar 2026 - 0:02

331

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Understanding Hessian on Manifold (without Riemannian Geometry)

Published on 25 Mar 2026 - 19:03

83

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On every metric space $(T, d)$ metric $d:T^2 \to \mathbb{R}$ is continuous function?

Published on 23 May 2020 - 11:12

952

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Examples of no-zero-measure meagre set

Published on 23 May 2020 - 20:43

275

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Showing that the differential is an immersion

Published on 23 May 2020 - 21:01

525

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De Rham cohomology of $S^1$ with compact supports (Bott/Tu)

Published on 26 Mar 2026 - 17:34

258

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Integral of a differential form on a torus

Published on 23 Feb 2026 - 10:02

101

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Does 2-dimensional Gauss-Bonnet theorem applicable in higher dimensions?

Published on 04 Apr 2026 - 10:36

795

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The function $R(x)=rank(Df(x))$ is locally constant on $\Omega$, i.e. it is constant in a neighbourhood of every point $x \in \Omega$.

Published on 26 May 2020 - 7:48

132

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Simply connected neighborhood of a compact set contained in an open set

Published on 26 May 2020 - 11:12

274

Views

Hyperplane intersects submanifold transversally

Published on 26 May 2020 - 13:08

327

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Can we define differentiation without using a norm?

Published on 26 May 2020 - 14:31

192

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Is the restriction map continuous?

Published on 27 Mar 2026 - 6:34

101

Views

Unique index 0 critical point if all critical points are of index 0?

Published on 02 Apr 2026 - 14:00

List Question

Relation/Difference between moduli spaces and classifying spaces.

Continuous map from the plane $\mathbb{R}^2$ to a polygon with $n$ vertices.

Understanding Hessian on Manifold (without Riemannian Geometry)

On every metric space $(T, d)$ metric $d:T^2 \to \mathbb{R}$ is continuous function?

Examples of no-zero-measure meagre set

Showing that the differential is an immersion

De Rham cohomology of $S^1$ with compact supports (Bott/Tu)

Integral of a differential form on a torus

Does 2-dimensional Gauss-Bonnet theorem applicable in higher dimensions?

The function $R(x)=rank(Df(x))$ is locally constant on $\Omega$, i.e. it is constant in a neighbourhood of every point $x \in \Omega$.

Simply connected neighborhood of a compact set contained in an open set

Hyperplane intersects submanifold transversally

Can we define differentiation without using a norm?

Is the restriction map continuous?

Unique index 0 critical point if all critical points are of index 0?

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