List questions from algebraic-topology

175

Views

Show $\mathbb{S}^{2}/\mathbb{S}^{0}$ is homotopy equivalent to $\mathbb{S}^{2} \vee \mathbb{S}^{1}$.

Published on 02 Dec 2018 - 21:20

46

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What are the closed sets of this topology.

Published on 02 Dec 2018 - 23:32

117

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Understanding why the Adams Spectral Sequence works

Published on 25 Mar 2026 - 9:50

179

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The covering transformation is determined by its value at the base point

Published on 25 Mar 2026 - 19:04

63

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Computing $H_1(S^1, S^0)$

Published on 03 Dec 2018 - 15:52

163

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On the $H^{\ast}$-module structure on homology group

Published on 30 Mar 2026 - 23:57

332

Views

Connected Sum Surgery

Published on 31 Mar 2026 - 20:50

911

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Are 3-sheeted covers of figure 8 homotopy equivalent to each other?

Published on 25 Mar 2026 - 18:57

137

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Which Nonorientable 3 manifolds have torsion in $H_{1}$?

Published on 26 Mar 2026 - 16:26

433

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Examples of 4-manifolds with nontrivial third Stiefel-Whitney class $w_3$.

Published on 04 Apr 2026 - 0:47

349

Views

What is the topology on the direct limit of $\Bbb R^i \rightarrow \Bbb R^j$

Published on 04 Dec 2018 - 7:39

610

Views

Bijections between Manifolds of the same dimension

Published on 29 Mar 2026 - 10:48

474

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Cohomology ring of $H^*(A_5;\mathbb Z_2)$?

Published on 25 Mar 2026 - 22:04

1.6k

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How does group cohomology behaves where coefficient is direct sum?

Published on 25 Mar 2026 - 23:37

54

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Proof that $H_1(D^2, S^1) = 0$

Published on 04 Dec 2018 - 13:27

List Question

Show $\mathbb{S}^{2}/\mathbb{S}^{0}$ is homotopy equivalent to $\mathbb{S}^{2} \vee \mathbb{S}^{1}$.

What are the closed sets of this topology.

Understanding why the Adams Spectral Sequence works

The covering transformation is determined by its value at the base point

Computing $H_1(S^1, S^0)$

On the $H^{\ast}$-module structure on homology group

Connected Sum Surgery

Are 3-sheeted covers of figure 8 homotopy equivalent to each other?

Which Nonorientable 3 manifolds have torsion in $H_{1}$?

Examples of 4-manifolds with nontrivial third Stiefel-Whitney class $w_3$.

What is the topology on the direct limit of $\Bbb R^i \rightarrow \Bbb R^j$

Bijections between Manifolds of the same dimension

Cohomology ring of $H^*(A_5;\mathbb Z_2)$?

How does group cohomology behaves where coefficient is direct sum?

Proof that $H_1(D^2, S^1) = 0$

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