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Fundamental group of result of 0-Dehn surgery and meridian

score 348 · Answer 1 · 2026-03-25 09:29:14

348

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Fundamental group of result of 0-Dehn surgery and meridian

Published on 25 Mar 2026 - 9:29

score 132 · Answer 2 · 2015-10-01 23:12:49

132

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Let $V$ be a finite real vector space, $W$ a subspace. What is the fundamental group of $V-W$?

Published on 01 Oct 2015 - 23:12

score 1.4k · Answer 3 · 2015-10-08 16:32:00

1.4k

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Practicing Seifert van Kampen

Published on 08 Oct 2015 - 16:32

score 220 · Answer 4 · 2026-03-09 05:59:04

220

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Rank of fundamental groups of open subsets.

Published on 09 Mar 2026 - 5:59

score 55 · Answer 5 · 2015-10-12 04:36:41

55

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$\beta_1 \gamma_1 {\beta_1}^{-1}{\gamma_1}^{-1}$ is not null-homotopic in the two-holed torus.

Published on 12 Oct 2015 - 4:36

score 66 · Answer 6 · 2015-10-20 03:21:06

66

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How do you generalize "loops" from usual topology $I:[0,1] \to X$

Published on 20 Oct 2015 - 3:21

score 98 · Answer 7 · 2015-10-25 19:48:17

98

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When $\pi_1(X)\neq 0$ and $H_1(X) = 0$

Published on 25 Oct 2015 - 19:48

score 1.7k · Answer 8 · 2015-10-26 15:52:30

1.7k

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Fundamental group of the complement of $3$ pairwise linked circles in $\mathbb R^{3}$

Published on 26 Oct 2015 - 15:52

score 87 · Answer 9 · 2015-10-26 16:06:31

87

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Homomorphism as induced maps

Published on 26 Oct 2015 - 16:06

score 355 · Answer 10 · 2015-11-07 03:31:24

355

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What are the conjugacy class and homotopy class of fundamental group in graph theory?

Published on 07 Nov 2015 - 3:31

score 1.8k · Answer 11 · 2026-03-07 05:46:49

1.8k

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Use Seifert–van Kampen to show $X \ast Y$ is simply connected if $X$ is path connected.

Published on 07 Mar 2026 - 5:46

score 2.3k · Answer 12 · 2015-11-10 19:37:59

2.3k

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Does having the same fundamental group imply that two spaces have the same homotopy type?

Published on 10 Nov 2015 - 19:37

score 1.7k · Answer 13 · 2015-11-13 17:26:44

1.7k

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Fundamental group of the n-fold torus is nonabelian for n > 1

Published on 13 Nov 2015 - 17:26

score 732 · Answer 14 · 2026-03-27 15:02:40

732

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Getting intuition for Munkres' 2 dimensional CW complex construction:

Published on 27 Mar 2026 - 15:02

score 2k · Answer 15 · 2026-03-30 00:03:51

2k

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Surface groups and subgroups of fundamental groups

Published on 30 Mar 2026 - 0:03

List Question

Fundamental group of result of 0-Dehn surgery and meridian

Let $V$ be a finite real vector space, $W$ a subspace. What is the fundamental group of $V-W$?

Practicing Seifert van Kampen

Rank of fundamental groups of open subsets.

$\beta_1 \gamma_1 {\beta_1}^{-1}{\gamma_1}^{-1}$ is not null-homotopic in the two-holed torus.

How do you generalize "loops" from usual topology $I:[0,1] \to X$

When $\pi_1(X)\neq 0$ and $H_1(X) = 0$

Fundamental group of the complement of $3$ pairwise linked circles in $\mathbb R^{3}$

Homomorphism as induced maps

What are the conjugacy class and homotopy class of fundamental group in graph theory?

Use Seifert–van Kampen to show $X \ast Y$ is simply connected if $X$ is path connected.

Does having the same fundamental group imply that two spaces have the same homotopy type?

Fundamental group of the n-fold torus is nonabelian for n > 1

Getting intuition for Munkres' 2 dimensional CW complex construction:

Surface groups and subgroups of fundamental groups

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