List questions from geometric-topology

Published on 20 Apr 2020 - 9:39

45

Views

Show that a Quotient Map pasting a polygonal region is closed

Published on 22 Apr 2020 - 20:39

90

Views

Incompressible surfaces in surface bundles of $S^1$ that are homologous to the fiber are homotopic to the fiber?

Published on 25 Mar 2026 - 16:20

339

Views

Critical points and manifolds

Published on 23 Apr 2020 - 5:58

72

Views

Can a flat Heegaard splitting surface be totally geodesic?

Published on 26 Mar 2026 - 6:33

186

Views

Minimum area of an art gallery?

Published on 24 Apr 2020 - 12:54

277

Views

How to show the inclusion $M\subset\Bbb R^{k+n}$ is locally flat, where $M\subset\Bbb R^k$ is an $n$- dimensional topological manifold?

Published on 25 Apr 2020 - 18:04

394

Views

Why is the Euler class of (the unit tangent bundle over) a manifold equal to its Euler characteristic?

Published on 26 Apr 2020 - 21:36

129

Views

What is homeomorphism?

Published on 27 Apr 2020 - 15:48

685

Views

Conserved quantity along a geodesic in a Killing vector field

Published on 30 Apr 2020 - 4:24

780

Views

Confusion on the kernel and image of boundary map in terms of computing simplicial homology.

Published on 02 May 2020 - 1:57

105

Views

Use space suspension and reduced homology to compute the homology group $H_{k}(\mathbb{S}^{n})$ for any $n\geq 0$.

Published on 03 May 2020 - 17:58

29

Views

Characterizing the Homotopy of Path-Connected Space

Published on 04 May 2020 - 13:38

378

Views

Cohomology Groups of Projective Space and Sphere

Published on 05 May 2020 - 0:34

237

Views

Seifert Fibered Spaces with Boundary are $\mathbb{P}^2$-irreducible

Published on 25 Mar 2026 - 22:26

List Question

Can we extend a function on surface to a function on $\mathbb{R}^3$

Show that a Quotient Map pasting a polygonal region is closed

Incompressible surfaces in surface bundles of $S^1$ that are homologous to the fiber are homotopic to the fiber?

Critical points and manifolds

Can a flat Heegaard splitting surface be totally geodesic?

Minimum area of an art gallery?

How to show the inclusion $M\subset\Bbb R^{k+n}$ is locally flat, where $M\subset\Bbb R^k$ is an $n$- dimensional topological manifold?

Why is the Euler class of (the unit tangent bundle over) a manifold equal to its Euler characteristic?

What is homeomorphism?

Conserved quantity along a geodesic in a Killing vector field

Confusion on the kernel and image of boundary map in terms of computing simplicial homology.

Use space suspension and reduced homology to compute the homology group $H_{k}(\mathbb{S}^{n})$ for any $n\geq 0$.

Characterizing the Homotopy of Path-Connected Space

Cohomology Groups of Projective Space and Sphere

Seifert Fibered Spaces with Boundary are $\mathbb{P}^2$-irreducible

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