Question

Proof fundamental groupoid preserves homotopy colimits?

score 441 · Answer 1 · 2016-08-25 15:45:02

441

Views

Proof fundamental groupoid preserves homotopy colimits?

Published on 25 Aug 2016 - 15:45

score 211 · Answer 2 · 2016-08-28 05:13:54

211

Views

Computing the fundamental group of a space obtained by attaching a circle?

Published on 28 Aug 2016 - 5:13

score 92 · Answer 3 · 2016-08-31 18:53:20

92

Views

Topology on fundamental group so that its a topological group

Published on 31 Aug 2016 - 18:53

score 158 · Answer 4 · 2016-09-05 09:04:25

158

Views

Spherical 3-manifold has a finite fundamental group isomorphic the act group

Published on 05 Sep 2016 - 9:04

score 289 · Answer 5 · 2016-09-05 21:30:42

289

Views

all functions from the unit interval into a path connected space homotopic?

Published on 05 Sep 2016 - 21:30

score 788 · Answer 6 · 2016-09-07 16:55:10

788

Views

Fundamental group of the complement of $k$ disjoint lines in $\mathbb{R}^3$.

Published on 07 Sep 2016 - 16:55

score 34 · Answer 7 · 2016-09-08 14:38:42

34

Views

How to show the continuity

Published on 08 Sep 2016 - 14:38

score 827 · Answer 8 · 2026-03-28 03:26:22

827

Views

Seifert-Van Kampen Theorem's Application to Cell Complexes

Published on 28 Mar 2026 - 3:26

score 86 · Answer 9 · 2016-09-27 11:28:56

86

Views

Why can't we use van-Kampen's theorem directly on the Hawaiian earring?

Published on 27 Sep 2016 - 11:28

score 120 · Answer 10 · 2016-09-27 14:04:40

120

Views

Using van-Kampen's on Hawaiian ring.

Published on 27 Sep 2016 - 14:04

score 1k · Answer 11 · 2026-03-28 03:28:57

1k

Views

Determine the covering space of $S^1 \vee S^1$ corresponding to subgroup of $\pi_1(S^1 \vee S^1)$ generated by cubes of all elements.

Published on 28 Mar 2026 - 3:28

score 12.3k · Answer 12 · 2016-10-01 21:39:30

12.3k

Views

The First Homology Group is the Abelianization of the Fundamental Group.

Published on 01 Oct 2016 - 21:39

score 64 · Answer 13 · 2016-10-07 12:45:29

64

Views

What are some interesting example of Topological spaces $X$ with the property that $\pi_1(X,x_0)$ does not depend on $x_0$?

Published on 07 Oct 2016 - 12:45

score 362 · Answer 14 · 2016-10-07 13:10:07

362

Views

what is the justification of the remark that 'fundamental group roughly count the holes in the topological space'?

Published on 07 Oct 2016 - 13:10

score 436 · Answer 15 · 2016-10-07 17:11:31

436

Views

Fundamental group of closed $3$-manifold and its subgroups.

Published on 07 Oct 2016 - 17:11

List Question

Proof fundamental groupoid preserves homotopy colimits?

Computing the fundamental group of a space obtained by attaching a circle?

Topology on fundamental group so that its a topological group

Spherical 3-manifold has a finite fundamental group isomorphic the act group

all functions from the unit interval into a path connected space homotopic?

Fundamental group of the complement of $k$ disjoint lines in $\mathbb{R}^3$.

How to show the continuity

Seifert-Van Kampen Theorem's Application to Cell Complexes

Why can't we use van-Kampen's theorem directly on the Hawaiian earring?

Using van-Kampen's on Hawaiian ring.

Determine the covering space of $S^1 \vee S^1$ corresponding to subgroup of $\pi_1(S^1 \vee S^1)$ generated by cubes of all elements.

The First Homology Group is the Abelianization of the Fundamental Group.

What are some interesting example of Topological spaces $X$ with the property that $\pi_1(X,x_0)$ does not depend on $x_0$?

what is the justification of the remark that 'fundamental group roughly count the holes in the topological space'?

Fundamental group of closed $3$-manifold and its subgroups.

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