Question

The fundamental group of the space $Y=S^3-(p^{-1}(\alpha_1)\cup ... \cup p^{-1}(\alpha_n))$, where $p :S^3 \to \Bbb CP^1$ is the quotient map

score 255 · Answer 1 · 2019-09-21 10:40:01

The fundamental group of the space $Y=S^3-(p^{-1}(\alpha_1)\cup ... \cup p^{-1}(\alpha_n))$, where $p :S^3 \to \Bbb CP^1$ is the quotient map

score 285 · Answer 2 · 2019-09-22 15:55:35

285

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score 227 · Answer 3 · 2026-03-25 14:25:21

227

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score 786 · Answer 4 · 2019-09-29 11:25:14

786

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score 471 · Answer 5 · 2014-03-18 07:19:19

471

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score 337 · Answer 6 · 2014-03-19 18:41:57

337

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score 28 · Answer 7 · 2026-03-26 16:06:46

28

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score 9.4k · Answer 8 · 2026-03-26 10:59:50

9.4k

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score 309 · Answer 9 · 2014-03-27 14:29:05

309

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find the fundamental group with van kampen.

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score 540 · Answer 10 · 2014-03-28 22:10:36

540

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nice space with wild fundamental group

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score 1.4k · Answer 11 · 2026-03-25 10:47:14

1.4k

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score 2.4k · Answer 12 · 2014-04-02 05:22:26

2.4k

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Plate trick demonstrating SO(3) not simply connected.

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score 634 · Answer 13 · 2026-03-25 06:04:51

634

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score 904 · Answer 14 · 2026-03-25 11:11:55

904

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score 99 · Answer 15 · 2026-03-26 16:04:59

99

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List Question

The fundamental group of the space $Y=S^3-(p^{-1}(\alpha_1)\cup ... \cup p^{-1}(\alpha_n))$, where $p :S^3 \to \Bbb CP^1$ is the quotient map

Fundamental group of the space $\Bbb CP^n-p(X)$

Free resolution of a group $G$ and the chain complex of the universal cover of $K(G,1)$

Computing fundamental group of $S^3$ minus mutually linked circles

Why is $\pi_1(\Bbb{R}^n,x_0)$ the trivial group in $\Bbb{R}^n$?

Fundamental groups of configuration spaces

Square of normal covering splits

$G$ is Topological $\implies$ $\pi_1(G,e)$ is Abelian

find the fundamental group with van kampen.

nice space with wild fundamental group

A 3-manifold with fundamental group isomorphic to a surface group.

Plate trick demonstrating SO(3) not simply connected.

Profinite completion of the fundamental group

Fundamental group: Attaching a disc to a path connected triangulable space

Is Orbit Criterion an abstract nonsense? Different induced fundamental groups.

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