Question

The fundamental group of a topological space is isomorphic with its connected component fundamental group

score 124 · Answer 1 · 2026-03-25 23:39:34

124

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The fundamental group of a topological space is isomorphic with its connected component fundamental group

Published on 25 Mar 2026 - 23:39

score 128 · Answer 2 · 2018-12-12 00:26:08

128

Views

What is wrong with this application of van Kampen's Theorem?

Published on 12 Dec 2018 - 0:26

score 368 · Answer 3 · 2018-12-12 21:57:24

First fundamental group $\pi_1(X)$ of $\mathbb{R^3} \setminus \{$a circumference $\cup$ a line tangent to a point on the circumference$\}$

score 915 · Answer 4 · 2018-12-14 02:28:13

915

Views

Is $\left<a,b,c|aba^{-1}b^{-1},aca^{-1}c^{-1}\right>$ the fundamental group of two tori joined by a circle?

Published on 14 Dec 2018 - 2:28

score 563 · Answer 5 · 2018-12-16 18:07:48

563

Views

Fundamental group of two linked spheres

Published on 16 Dec 2018 - 18:07

score 302 · Answer 6 · 2026-03-25 14:45:16

302

Views

Fundamental groups of the configuration spaces of all triangles and right triangles

Published on 25 Mar 2026 - 14:45

score 308 · Answer 7 · 2026-03-25 05:07:06

308

Views

Geometric presentation of fundamental group of a surface

Published on 25 Mar 2026 - 5:07

score 396 · Answer 8 · 2018-12-24 22:04:54

396

Views

Fundamental Group Contains Infinite Cyclic Subgroup

Published on 24 Dec 2018 - 22:04

score 226 · Answer 9 · 2018-12-28 16:05:58

226

Views

How the two non null-homotopic equivalence classes generate the null-homotopic loop on the torus

Published on 28 Dec 2018 - 16:05

score 602 · Answer 10 · 2026-03-25 09:27:17

602

Views

Homotopy of continuous map from a space with finite fundamental group

Published on 25 Mar 2026 - 9:27

score 222 · Answer 11 · 2026-03-25 14:25:09

222

Views

The small étale topos of a scheme is equivalent to the category of finite $\pi_1(X,x)$-sets for every scheme $X$ and every geometric point $x$

Published on 25 Mar 2026 - 14:25

score 444 · Answer 12 · 2026-03-25 20:34:45

444

Views

Fundamental group via deck transformations considering rotation on sphere

Published on 25 Mar 2026 - 20:34

score 107 · Answer 13 · 2026-03-24 22:08:30

107

Views

Can nonisomorphic groupoids have homotopy equivalent classifying spaces?

Published on 24 Mar 2026 - 22:08

score 438 · Answer 14 · 2019-01-08 02:56:46

438

Views

The fundamental group of $(S^1\times S^1)/(S^1\times \{x\})$

Published on 08 Jan 2019 - 2:56

score 705 · Answer 15 · 2019-01-11 11:28:19

705

Views

Fundamental group of the $m$-fold suspension of a finite discrete space

Published on 11 Jan 2019 - 11:28

List Question

The fundamental group of a topological space is isomorphic with its connected component fundamental group

What is wrong with this application of van Kampen's Theorem?

First fundamental group $\pi_1(X)$ of $\mathbb{R^3} \setminus \{$a circumference $\cup$ a line tangent to a point on the circumference$\}$

Is $\left<a,b,c|aba^{-1}b^{-1},aca^{-1}c^{-1}\right>$ the fundamental group of two tori joined by a circle?

Fundamental group of two linked spheres

Fundamental groups of the configuration spaces of all triangles and right triangles

Geometric presentation of fundamental group of a surface

Fundamental Group Contains Infinite Cyclic Subgroup

How the two non null-homotopic equivalence classes generate the null-homotopic loop on the torus

Homotopy of continuous map from a space with finite fundamental group

The small étale topos of a scheme is equivalent to the category of finite $\pi_1(X,x)$-sets for every scheme $X$ and every geometric point $x$

Fundamental group via deck transformations considering rotation on sphere

Can nonisomorphic groupoids have homotopy equivalent classifying spaces?

The fundamental group of $(S^1\times S^1)/(S^1\times \{x\})$

Fundamental group of the $m$-fold suspension of a finite discrete space

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