List questions from differential-topology

Published on 08 Apr 2026 - 23:34

232

Views

Show that $H_{DR}^2(\mathbb{R}^2-P-Q)=0$ without using Mayer-Vietoris Sequence

Published on 23 Apr 2026 - 16:54

98

Views

Using Pontryagin-Thom theorem to compute $\pi_{n+1}(S^n)$ for low values of $n$.

Published on 13 Apr 2026 - 9:44

95

Views

Explanation of the functoriality of the Euler class in a categorical view

Published on 13 Apr 2026 - 7:06

176

Views

Show that spaces $X$ and $\tilde X$ are not homeomorphic

Published on 16 Apr 2026 - 8:09

98

Views

Use the $S^3$ sphere geometry to visualize a $Spin(2k)$ group?

Published on 16 May 2026 - 8:21

274

Views

Geometric interpretation of $q$ in Lens space $L(p,q)$

Published on 15 Apr 2026 - 23:45

67

Views

$SO(1, 1)$ and $Spin(1, 1)$ in terms of $GL(1, R)$

Published on 16 May 2026 - 8:21

504

Views

Visualize why the group of isometries of the sphere $S^2$ is $S^3/(\mathbf{Z}/2) ?$

Published on 16 Apr 2026 - 14:41

191

Views

Ricci flow that expands the negative curvature part of the manifold and contracts the positive curvature part?

Published on 11 Apr 2026 - 16:20

377

Views

Euler number of 2-disk bundles

Published on 15 Apr 2026 - 6:05

528

Views

Transversality in $2$-manifold

Published on 14 May 2026 - 22:49

71

Views

Metric decay under linear transformation

Published on 13 May 2026 - 23:40

159

Views

Example in Milnor's Morse theory book ,$f^{-1}[a,b]$ is not compact

Published on 15 Apr 2026 - 5:56

130

Views

Topology of $\mathbb{R}^{n+1}$ versus $\mathbb{R}^{n,1}$

Published on 16 Apr 2026 - 3:40

List Question

Can an isomorphism induce a differentiable manifold structure

Show that $H_{DR}^2(\mathbb{R}^2-P-Q)=0$ without using Mayer-Vietoris Sequence

Using Pontryagin-Thom theorem to compute $\pi_{n+1}(S^n)$ for low values of $n$.

Explanation of the functoriality of the Euler class in a categorical view

Show that spaces $X$ and $\tilde X$ are not homeomorphic

Use the $S^3$ sphere geometry to visualize a $Spin(2k)$ group?

Geometric interpretation of $q$ in Lens space $L(p,q)$

$SO(1, 1)$ and $Spin(1, 1)$ in terms of $GL(1, R)$

Visualize why the group of isometries of the sphere $S^2$ is $S^3/(\mathbf{Z}/2) ?$

Ricci flow that expands the negative curvature part of the manifold and contracts the positive curvature part?

Euler number of 2-disk bundles

Transversality in $2$-manifold

Metric decay under linear transformation

Example in Milnor's Morse theory book ,$f^{-1}[a,b]$ is not compact

Topology of $\mathbb{R}^{n+1}$ versus $\mathbb{R}^{n,1}$

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