Question

Fundamental Group of $\mathbb{R}^3\setminus S$ where $S$ is the unit circle in the $x-y$ plane.

score 100 · Answer 1 · 2021-05-12 10:32:53

100

Views

Fundamental Group of $\mathbb{R}^3\setminus S$ where $S$ is the unit circle in the $x-y$ plane.

Published on 12 May 2021 - 10:32

score 307 · Answer 2 · 2021-05-13 09:34:32

307

Views

Fundamental group of $\Bbb R^3$ minus a plane passing through the origin.

Published on 13 May 2021 - 9:34

score 72 · Answer 3 · 2021-05-13 19:21:07

72

Views

Equivalence relation on a 3-genus surface.

Published on 13 May 2021 - 19:21

score 50 · Answer 4 · 2021-05-13 22:19:40

50

Views

Where am I going wrong with this calculation of $\pi_1(T^2/ {\sim})$ where $\sim$ identifies two points on the Torus

Published on 13 May 2021 - 22:19

score 159 · Answer 5 · 2021-05-16 00:02:48

159

Views

Van Kampen on two tori joined at a point.

Published on 16 May 2021 - 0:02

score 240 · Answer 6 · 2026-03-26 04:38:01

240

Views

In van Kampen’s theorem, what happens to the loops not in $\pi_1(U_\alpha \cap U_\beta)$?

Published on 26 Mar 2026 - 4:38

score 77 · Answer 7 · 2021-05-21 04:48:29

77

Views

Question regarding isomorphism between quotient of fundamental groups.

Published on 21 May 2021 - 4:48

score 109 · Answer 8 · 2021-05-23 07:13:28

109

Views

What are all the topological spaces that the $S^1$ can cover up to homeomorphism?

Published on 23 May 2021 - 7:13

score 997 · Answer 9 · 2026-03-29 04:48:03

997

Views

Hatcher Exercise 1.2.8 via the van Kampen theorem

Published on 29 Mar 2026 - 4:48

score 212 · Answer 10 · 2026-03-29 12:52:52

212

Views

Quasi-isometric Classification of Free Products of Surface Groups

Published on 29 Mar 2026 - 12:52

score 91 · Answer 11 · 2021-05-25 09:49:29

91

Views

Fundamental group using Van Kampen of $\{(x-1,y) | (x,y)\in S^{1}\}\cup(\{0\}\times\mathbb{R})$

Published on 25 May 2021 - 9:49

score 84 · Answer 12 · 2026-03-27 22:32:38

84

Views

How to proof that a manifold covered by two charts satisfying $f_i(\mathbb{R}^m \setminus B^o) \subset f_j(B^o)$ for $i\not=j$ is simply connected?

Published on 27 Mar 2026 - 22:32

score 104 · Answer 13 · 2026-03-31 21:52:18

104

Views

Monodromy representation

Published on 31 Mar 2026 - 21:52

score 346 · Answer 14 · 2021-06-04 19:48:08

346

Views

Fundamental group of two copies of $S^2$ joined (separately) at their north and south poles

Published on 04 Jun 2021 - 19:48

score 57 · Answer 15 · 2021-06-04 23:29:33

57

Views

Name of a category of smooth paths between points "enriched" with differential information

Published on 04 Jun 2021 - 23:29

List Question

Fundamental Group of $\mathbb{R}^3\setminus S$ where $S$ is the unit circle in the $x-y$ plane.

Fundamental group of $\Bbb R^3$ minus a plane passing through the origin.

Equivalence relation on a 3-genus surface.

Where am I going wrong with this calculation of $\pi_1(T^2/ {\sim})$ where $\sim$ identifies two points on the Torus

Van Kampen on two tori joined at a point.

In van Kampen’s theorem, what happens to the loops not in $\pi_1(U_\alpha \cap U_\beta)$?

Question regarding isomorphism between quotient of fundamental groups.

What are all the topological spaces that the $S^1$ can cover up to homeomorphism?

Hatcher Exercise 1.2.8 via the van Kampen theorem

Quasi-isometric Classification of Free Products of Surface Groups

Fundamental group using Van Kampen of $\{(x-1,y) | (x,y)\in S^{1}\}\cup(\{0\}\times\mathbb{R})$

How to proof that a manifold covered by two charts satisfying $f_i(\mathbb{R}^m \setminus B^o) \subset f_j(B^o)$ for $i\not=j$ is simply connected?

Monodromy representation

Fundamental group of two copies of $S^2$ joined (separately) at their north and south poles

Name of a category of smooth paths between points "enriched" with differential information

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