Question

Isomorphism of the etale fundamental group

score 73 · Answer 1 · 2014-05-06 15:51:54

73

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Isomorphism of the etale fundamental group

Published on 06 May 2014 - 15:51

score 180 · Answer 2 · 2026-03-26 12:41:12

180

Views

Showing that $\pi(G/H, 1) = H$ under a condition

Published on 26 Mar 2026 - 12:41

score 24.5k · Answer 3 · 2014-05-08 11:30:55

24.5k

Views

Hanging a picture on the wall using two nails in such a way that removing any nail makes the picture fall down

Published on 08 May 2014 - 11:30

score 1k · Answer 4 · 2014-05-10 17:13:10

Determing if the fundamental group of the following is isomorphic to either the trivial, infinite cyclic, figure eight fundamental groups

score 59 · Answer 5 · 2026-03-25 23:52:32

59

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Dual of etale fundamental group, field functoriality

Published on 25 Mar 2026 - 23:52

score 1.5k · Answer 6 · 2026-03-26 01:06:13

1.5k

Views

Fundamental group of a connected graph

Published on 26 Mar 2026 - 1:06

score 562 · Answer 7 · 2014-05-28 19:36:24

562

Views

Is the homotopy type of an aspherical space determined by its fundamental group?

Published on 28 May 2014 - 19:36

score 800 · Answer 8 · 2014-05-30 20:29:52

800

Views

Homology and Fundamental group of $\mathbb{R}^4\setminus S^1$

Published on 30 May 2014 - 20:29

score 414 · Answer 9 · 2014-06-01 18:22:35

414

Views

Is $\mathbb{C}P^{\infty}$, the infinite complex projective space simply connected?

Published on 01 Jun 2014 - 18:22

score 3.2k · Answer 10 · 2014-06-10 06:13:34

3.2k

Views

the fundamental group of punctured surface

Published on 10 Jun 2014 - 6:13

score 574 · Answer 11 · 2026-03-26 19:19:58

574

Views

If $p : E \to B$ is a covering map and $E$ is simply connected, then each fiber of $p$ has the cardinality of that of $\pi_1(B)$.

Published on 26 Mar 2026 - 19:19

score 319 · Answer 12 · 2014-06-25 18:31:16

319

Views

Funky Fundamental Group Question

Published on 25 Jun 2014 - 18:31

score 1.8k · Answer 13 · 2014-06-30 17:48:44

1.8k

Views

Do freely homotopic maps induce the same homomorphism on fundamental groups?

Published on 30 Jun 2014 - 17:48

score 797 · Answer 14 · 2014-07-02 02:34:32

797

Views

Fundamental Group of a Hexagon with Edge Identifications

Published on 02 Jul 2014 - 2:34

score 146 · Answer 15 · 2026-03-25 14:26:05

146

Views

For compact surface $M$ and loop $f$ there exists a surjection $\phi: H_1(M) \to \mathbb{Z}/8\mathbb{Z}$ such that $f \notin \ker(\phi)$

Published on 25 Mar 2026 - 14:26

List Question

Isomorphism of the etale fundamental group

Showing that $\pi(G/H, 1) = H$ under a condition

Hanging a picture on the wall using two nails in such a way that removing any nail makes the picture fall down

Determing if the fundamental group of the following is isomorphic to either the trivial, infinite cyclic, figure eight fundamental groups

Dual of etale fundamental group, field functoriality

Fundamental group of a connected graph

Is the homotopy type of an aspherical space determined by its fundamental group?

Homology and Fundamental group of $\mathbb{R}^4\setminus S^1$

Is $\mathbb{C}P^{\infty}$, the infinite complex projective space simply connected?

the fundamental group of punctured surface

If $p : E \to B$ is a covering map and $E$ is simply connected, then each fiber of $p$ has the cardinality of that of $\pi_1(B)$.

Funky Fundamental Group Question

Do freely homotopic maps induce the same homomorphism on fundamental groups?

Fundamental Group of a Hexagon with Edge Identifications

For compact surface $M$ and loop $f$ there exists a surjection $\phi: H_1(M) \to \mathbb{Z}/8\mathbb{Z}$ such that $f \notin \ker(\phi)$

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