Question

How to prove that $\phi:G\rightarrow \pi_1(X/G,p(x_0))$ is a homomorphism of groups?

score 208 · Answer 1 · 2015-11-16 05:23:57

208

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How to prove that $\phi:G\rightarrow \pi_1(X/G,p(x_0))$ is a homomorphism of groups?

Published on 16 Nov 2015 - 5:23

score 592 · Answer 2 · 2015-11-16 17:10:28

592

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Fundamental group of $GL^{+}_2(\mathbb{R})$

Published on 16 Nov 2015 - 17:10

score 1.6k · Answer 3 · 2015-11-19 20:18:30

1.6k

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Why is the fundamental group of a topological group independent of the basepoint?

Published on 19 Nov 2015 - 20:18

score 1.6k · Answer 4 · 2015-11-22 22:41:29

1.6k

Views

Prove that the fundamental group of $P^2$ the real projective plane is the group with two elements

Published on 22 Nov 2015 - 22:41

score 875 · Answer 5 · 2015-11-23 18:41:21

875

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What is the fundamental group of the torus with two segments attached?

Published on 23 Nov 2015 - 18:41

score 87 · Answer 6 · 2026-03-28 02:29:18

87

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Finitely generated group acting cocompactly on a Manifold of bounded geometry

Published on 28 Mar 2026 - 2:29

score 82 · Answer 7 · 2015-11-25 19:06:36

82

Views

Homeomorphism from $U\subset \mathbb{R}^2 \rightarrow U$ which permutes points.

Published on 25 Nov 2015 - 19:06

score 390 · Answer 8 · 2015-11-26 07:29:58

390

Views

Map from Torus to Projective Plane inducing an Epimorphism on Fundamental groups

Published on 26 Nov 2015 - 7:29

score 410 · Answer 9 · 2015-11-26 09:13:06

410

Views

Trivial Fundamental Group Notation (1 or 0)

Published on 26 Nov 2015 - 9:13

score 392 · Answer 10 · 2015-11-29 21:40:26

392

Views

Meaning of torsion elements in fundamental groups

Published on 29 Nov 2015 - 21:40

score 1k · Answer 11 · 2015-12-07 17:32:55

1k

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Exercise 1.2.19 of Hatcher's Algebraic Topology

Published on 07 Dec 2015 - 17:32

score 600 · Answer 12 · 2015-12-10 08:52:11

600

Views

Fundamental Group using Van Kampen

Published on 10 Dec 2015 - 8:52

score 504 · Answer 13 · 2015-12-17 05:09:16

504

Views

Why is $\pi_1(F_g)^{ab} = \Bbb Z \langle a_1, b_1, \ldots , a_g, b_g \rangle$?

Published on 17 Dec 2015 - 5:09

score 63 · Answer 14 · 2015-12-21 00:40:19

63

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Covering space of a topological group has same isotropy subgroup for each element in the fiber

Published on 21 Dec 2015 - 0:40

score 910 · Answer 15 · 2015-12-21 12:41:05

910

Views

Generators of commutator subgroup of fundamental group of genus-2 surface

Published on 21 Dec 2015 - 12:41

List Question

How to prove that $\phi:G\rightarrow \pi_1(X/G,p(x_0))$ is a homomorphism of groups?

Fundamental group of $GL^{+}_2(\mathbb{R})$

Why is the fundamental group of a topological group independent of the basepoint?

Prove that the fundamental group of $P^2$ the real projective plane is the group with two elements

What is the fundamental group of the torus with two segments attached?

Finitely generated group acting cocompactly on a Manifold of bounded geometry

Homeomorphism from $U\subset \mathbb{R}^2 \rightarrow U$ which permutes points.

Map from Torus to Projective Plane inducing an Epimorphism on Fundamental groups

Trivial Fundamental Group Notation (1 or 0)

Meaning of torsion elements in fundamental groups

Exercise 1.2.19 of Hatcher's Algebraic Topology

Fundamental Group using Van Kampen

Why is $\pi_1(F_g)^{ab} = \Bbb Z \langle a_1, b_1, \ldots , a_g, b_g \rangle$?

Covering space of a topological group has same isotropy subgroup for each element in the fiber

Generators of commutator subgroup of fundamental group of genus-2 surface

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