List questions from algebraic-topology

Published on 26 Mar 2026 - 11:17

57

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The generators of $\Omega_{10}^{Pin^-}(pt)=\mathbb{Z}_{128} \times \mathbb{Z}_{8} \times \mathbb{Z}_{2}$

Published on 25 Mar 2026 - 20:06

75

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$X/A\wedge Y/B= (X\times Y)/(X\times B\cup A\times Y)$

Published on 24 Mar 2026 - 20:33

112

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Proving that $H_{n}(X,A)$ is isomorphic to $\widetilde{H}_{n}(X)$ if A is acyclic.

Published on 21 Jul 2018 - 18:56

143

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Why is hermitian symmetric domain simply connected?

Published on 26 Mar 2026 - 11:00

438

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What are interesting examples of still uncomputed cohomology rings?

Published on 27 Mar 2026 - 7:18

226

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Ramified covering of a torus

Published on 25 Mar 2026 - 20:41

190

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Are the results from persistent homology complete?

Published on 22 Mar 2026 - 18:21

58

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homotopy inverse of the cap product

Published on 30 Mar 2026 - 11:03

305

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What is the classification of 1-dimensional commutative formal group laws over $\mathbb{Z}$ up to isomorphism?

Published on 30 Mar 2026 - 12:59

75

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Two notions of classifying space

Published on 01 Apr 2026 - 3:19

140

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Homotopy fiber of $BSO(n) \to BSO$

Published on 23 Jul 2018 - 7:26

87

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Steenrod squares on integer cohomology classes.

Published on 23 Jul 2018 - 9:23

280

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In Algebraic Topology, why do we want to localize spaces?

Published on 23 Jul 2018 - 22:04

74

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Express a given continuous path $\alpha(t):[a,b] \rightarrow \mathbb{C} \setminus a$ in the form: $\alpha(t)=a+r(t)e^{i\theta (t)}$

Published on 24 Jul 2018 - 4:16

List Question

How to determine the homology groups of $\{(v,w)\in\mathbb{C}^2\mid vw \neq 0\}$

The generators of $\Omega_{10}^{Pin^-}(pt)=\mathbb{Z}_{128} \times \mathbb{Z}_{8} \times \mathbb{Z}_{2}$

$X/A\wedge Y/B= (X\times Y)/(X\times B\cup A\times Y)$

Proving that $H_{n}(X,A)$ is isomorphic to $\widetilde{H}_{n}(X)$ if A is acyclic.

Why is hermitian symmetric domain simply connected?

What are interesting examples of still uncomputed cohomology rings?

Ramified covering of a torus

Are the results from persistent homology complete?

homotopy inverse of the cap product

What is the classification of 1-dimensional commutative formal group laws over $\mathbb{Z}$ up to isomorphism?

Two notions of classifying space

Homotopy fiber of $BSO(n) \to BSO$

Steenrod squares on integer cohomology classes.

In Algebraic Topology, why do we want to localize spaces?

Express a given continuous path $\alpha(t):[a,b] \rightarrow \mathbb{C} \setminus a$ in the form: $\alpha(t)=a+r(t)e^{i\theta (t)}$

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