List questions from algebraic-topology

Published on 19 Mar 2018 - 21:39

86

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Let $\mathbb{D}^3=\{(x,y,z)\in \mathbb{R}^3: x^2+y^2+z^2\leq 1\}$. Define $X=\mathbb{D}^3/\sim$ with the relation $(x,y,z)\sim(-x,-y,-z)$

Published on 25 Mar 2026 - 8:13

282

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Fundamental group S^2/~

Published on 25 Mar 2026 - 8:07

75

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proof given for spheres to be done for manifolds

Published on 25 Mar 2026 - 12:06

329

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The formal process behind « cutting » surfaces in topology

Published on 25 Mar 2026 - 6:02

2k

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Connection between Kronecker pairing and duality of cohomology/homology

Published on 20 Mar 2018 - 12:24

141

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What does "taking the adjoint" mean?

Published on 24 Mar 2026 - 23:59

272

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Condition for a matrix to be a boundary matrix of some simplicial complex

Published on 20 Mar 2018 - 14:58

44

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How is $K(X\times S^2)$ a $K(X)$ module ?

Published on 25 Mar 2026 - 5:08

61

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Lifting Heegaard splittings to the universal cover

Published on 25 Mar 2026 - 7:48

1.9k

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Definition of Suspension (Topology).

Published on 25 Mar 2026 - 16:13

57

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Proof that $\chi(X) =N\chi(y)$

Published on 25 Mar 2026 - 6:10

517

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Showing a figure eight is not regularly homotopic to the circle.

Published on 25 Mar 2026 - 1:37

50

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Presentation for $H^*(\mathbb{C}\mathbb{P}^1 \times \mathbb{C}\mathbb{P}^1)$

Published on 22 Mar 2026 - 14:29

448

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Topological space , containing a point whose closure is the whole space, is contractible?

Published on 21 Mar 2018 - 14:29

List Question

What does cube $[0,1]^{400}$ in Euclidean space refer to?

Let $\mathbb{D}^3=\{(x,y,z)\in \mathbb{R}^3: x^2+y^2+z^2\leq 1\}$. Define $X=\mathbb{D}^3/\sim$ with the relation $(x,y,z)\sim(-x,-y,-z)$

Fundamental group S^2/~

proof given for spheres to be done for manifolds

The formal process behind « cutting » surfaces in topology

Connection between Kronecker pairing and duality of cohomology/homology

What does "taking the adjoint" mean?

Condition for a matrix to be a boundary matrix of some simplicial complex

How is $K(X\times S^2)$ a $K(X)$ module ?

Lifting Heegaard splittings to the universal cover

Definition of Suspension (Topology).

Proof that $\chi(X) =N\chi(y)$

Showing a figure eight is not regularly homotopic to the circle.

Presentation for $H^*(\mathbb{C}\mathbb{P}^1 \times \mathbb{C}\mathbb{P}^1)$

Topological space , containing a point whose closure is the whole space, is contractible?

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