Question

Relative homotopy groups $\pi_k (S^n, S^1)$

score 154 · Answer 1 · 2026-03-25 04:39:39

154

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Relative homotopy groups $\pi_k (S^n, S^1)$

Published on 25 Mar 2026 - 4:39

score 37 · Answer 2 · 2026-03-25 03:03:11

37

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CW approximation: why does $S^{n+1}\to X$ qualify as an attaching map for attaching $S^{n+1}$ to another space $Z$?

Published on 25 Mar 2026 - 3:03

score 87 · Answer 3 · 2020-06-07 13:51:10

87

Views

Can a CW complex have a subset of cells that is itself a CW complex, yet is not a subcomplex of the larger complex?

Published on 07 Jun 2020 - 13:51

score 502 · Answer 4 · 2020-06-09 16:27:43

502

Views

compute $\pi_{1}(X)$ with cell complex structure.

Published on 09 Jun 2020 - 16:27

score 132 · Answer 5 · 2026-03-25 12:54:58

132

Views

Covering $\Bbb RP^\text{odd}\longrightarrow X$, what can be said about $X$?

Published on 25 Mar 2026 - 12:54

score 67 · Answer 6 · 2020-06-19 07:44:35

67

Views

$\Delta$-complex representing the Borromean rings

Published on 19 Jun 2020 - 7:44

score 112 · Answer 7 · 2020-06-24 17:41:41

112

Views

computing $\pi_1(\mathbb{R}P^2 \vee\mathbb{R}P^2)$ and $\pi_1(\mathbb{R}P^2 \times \mathbb{R}P^2)$

Published on 24 Jun 2020 - 17:41

score 582 · Answer 8 · 2020-06-24 20:04:34

582

Views

$X=S^2/{\sim}$ where any point on the equator is identified with its antipodal point. Compute $\pi_1(X)$ and $H_\ast(X)$

Published on 24 Jun 2020 - 20:04

score 610 · Answer 9 · 2020-06-24 20:46:13

610

Views

Compute $\pi_2(S^2 \vee S^2)$

Published on 24 Jun 2020 - 20:46

score 84 · Answer 10 · 2026-03-25 09:26:16

84

Views

Relation between variables (vertexes, edges, regions and faces) in three dimensional Voronoi diagram.

Published on 25 Mar 2026 - 9:26

score 295 · Answer 11 · 2020-07-03 17:05:50

295

Views

Why is the weak topology defined on cell complexes equivalent to the topology defined by the quotient map?

Published on 03 Jul 2020 - 17:05

score 302 · Answer 12 · 2020-07-04 14:24:54

302

Views

Inclusion of the n-th skeleton in CW-complex is an n-equivalence

Published on 04 Jul 2020 - 14:24

score 287 · Answer 13 · 2020-07-09 17:05:09

287

Views

Homology of $\mathbb{R}P^\infty$

Published on 09 Jul 2020 - 17:05

score 117 · Answer 14 · 2026-03-25 04:35:22

117

Views

Homotopy groups in large dimensions

Published on 25 Mar 2026 - 4:35

score 212 · Answer 15 · 2020-07-23 15:47:36

212

Views

Second homology group of the universal cover of $(S^1\times S^2)\vee S^1$

Published on 23 Jul 2020 - 15:47

List Question

Relative homotopy groups $\pi_k (S^n, S^1)$

CW approximation: why does $S^{n+1}\to X$ qualify as an attaching map for attaching $S^{n+1}$ to another space $Z$?

Can a CW complex have a subset of cells that is itself a CW complex, yet is not a subcomplex of the larger complex?

compute $\pi_{1}(X)$ with cell complex structure.

Covering $\Bbb RP^\text{odd}\longrightarrow X$, what can be said about $X$?

$\Delta$-complex representing the Borromean rings

computing $\pi_1(\mathbb{R}P^2 \vee\mathbb{R}P^2)$ and $\pi_1(\mathbb{R}P^2 \times \mathbb{R}P^2)$

$X=S^2/{\sim}$ where any point on the equator is identified with its antipodal point. Compute $\pi_1(X)$ and $H_\ast(X)$

Compute $\pi_2(S^2 \vee S^2)$

Relation between variables (vertexes, edges, regions and faces) in three dimensional Voronoi diagram.

Why is the weak topology defined on cell complexes equivalent to the topology defined by the quotient map?

Inclusion of the n-th skeleton in CW-complex is an n-equivalence

Homology of $\mathbb{R}P^\infty$

Homotopy groups in large dimensions

Second homology group of the universal cover of $(S^1\times S^2)\vee S^1$

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