Question

What is the fundamental group of this pattern of circles?

score 162 · Answer 1 · 2026-04-12 14:19:21

162

Views

What is the fundamental group of this pattern of circles?

Published on 12 Apr 2026 - 14:19

score 90 · Answer 2 · 2026-04-11 08:46:46

90

Views

Boundary operator preserved under isomorphism so relative homology isomorphic.

Published on 11 Apr 2026 - 8:46

score 323 · Answer 3 · 2026-04-11 13:40:37

323

Views

Chain homotopy between mapping cones

Published on 11 Apr 2026 - 13:40

score 44 · Answer 4 · 2026-04-09 06:08:49

44

Views

How does Poincaré-Duality interact with subspaces?

Published on 09 Apr 2026 - 6:08

score 2.5k · Answer 5 · 2026-04-12 16:59:37

2.5k

Views

Proving directly that $S^2$ is simply connected: is a surjective loop homotopic to a non-surjective one?

Published on 12 Apr 2026 - 16:59

score 892 · Answer 6 · 2026-04-11 17:10:06

892

Views

Contractible space which is not pointed-contractible. At all. Ever. Under any circumstances.

Published on 11 Apr 2026 - 17:10

score 199 · Answer 7 · 2026-04-14 03:51:52

199

Views

Intuitive reason for non-compact connected manifold $M$ of dimension $n$, $H_n(M,R)=0$ for any ring $R$

Published on 14 Apr 2026 - 3:51

score 80 · Answer 8 · 2026-04-13 10:44:30

80

Views

Classify 2-fold covering spaces of three-times punctured plane

Published on 13 Apr 2026 - 10:44

score 40 · Answer 9 · 2026-04-12 17:58:16

40

Views

Question on Possible Constructions of CW Complexes

Published on 12 Apr 2026 - 17:58

score 46 · Answer 10 · 2026-04-15 08:56:52

46

Views

Loops of intersection number $\geq 1$ in orientable surface of genus $2$.

Published on 15 Apr 2026 - 8:56

score 392 · Answer 11 · 2026-04-11 19:05:55

392

Views

Problem with notation in algebraic topology.

Published on 11 Apr 2026 - 19:05

score 78 · Answer 12 · 2026-04-12 09:02:17

78

Views

Sufficiency of relations in $\mathbf{2Cob}$ - about TQFTs

Published on 12 Apr 2026 - 9:02

score 149 · Answer 13 · 2026-04-14 13:57:26

149

Views

Replacing the fibre of a fibration.

Published on 14 Apr 2026 - 13:57

score 37 · Answer 14 · 2026-04-16 10:10:46

37

Views

$H_p(K)=H_p(K^{(p+1)},K^{(p-2)})$?

Published on 16 Apr 2026 - 10:10

score 83 · Answer 15 · 2026-04-14 08:40:38

83

Views

Pants decomposition via morse function?

Published on 14 Apr 2026 - 8:40

List Question

What is the fundamental group of this pattern of circles?

Boundary operator preserved under isomorphism so relative homology isomorphic.

Chain homotopy between mapping cones

How does Poincaré-Duality interact with subspaces?

Proving directly that $S^2$ is simply connected: is a surjective loop homotopic to a non-surjective one?

Contractible space which is not pointed-contractible. At all. Ever. Under any circumstances.

Intuitive reason for non-compact connected manifold $M$ of dimension $n$, $H_n(M,R)=0$ for any ring $R$

Classify 2-fold covering spaces of three-times punctured plane

Question on Possible Constructions of CW Complexes

Loops of intersection number $\geq 1$ in orientable surface of genus $2$.

Problem with notation in algebraic topology.

Sufficiency of relations in $\mathbf{2Cob}$ - about TQFTs

Replacing the fibre of a fibration.

$H_p(K)=H_p(K^{(p+1)},K^{(p-2)})$?

Pants decomposition via morse function?

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