Question

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

score 155 · Answer 1 · 2026-05-10 19:35:46

155

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

Published on 10 May 2026 - 19:35

score 38 · Answer 2 · 2026-05-10 19:38:56

38

Views

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 10 May 2026 - 19:38

score 90 · Answer 3 · 2026-04-11 18:11:02

90

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 11 Apr 2026 - 18:11

score 505 · Answer 4 · 2026-04-09 16:45:43

505

Views

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

Published on 09 Apr 2026 - 16:45

score 133 · Answer 5 · 2026-05-10 18:44:39

133

Views

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

Published on 10 May 2026 - 18:44

score 70 · Answer 6 · 2026-04-10 21:00:38

70

Views

$\Delta$-complex representing the Borromean rings

Published on 10 Apr 2026 - 21:00

score 115 · Answer 7 · 2026-04-13 06:44:03

115

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 13 Apr 2026 - 6:44

score 585 · Answer 8 · 2026-04-16 09:30:51

585

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 16 Apr 2026 - 9:30

score 613 · Answer 9 · 2026-04-15 18:11:04

613

Views

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

Published on 15 Apr 2026 - 18:11

score 85 · Answer 10 · 2026-05-10 19:35:34

85

Views

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

Published on 10 May 2026 - 19:35

score 298 · Answer 11 · 2026-04-13 17:49:18

298

Views

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

Published on 13 Apr 2026 - 17:49

score 306 · Answer 12 · 2026-04-17 00:09:29

306

Views

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

Published on 17 Apr 2026 - 0:09

score 289 · Answer 13 · 2026-04-12 11:04:11

289

Views

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

Published on 12 Apr 2026 - 11:04

score 118 · Answer 14 · 2026-05-11 04:58:14

118

Views

Homotopy groups in large dimensions

Published on 11 May 2026 - 4:58

score 215 · Answer 15 · 2026-04-15 18:26:07

215

Views

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

Published on 15 Apr 2026 - 18:26

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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