Question

Fundamental group of $\mathbb{R}^3 \setminus \{ \mathbb{S}^1 \text{ and two lines} \}$

score 207 · Answer 1 · 2026-03-25 16:01:51

207

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Fundamental group of $\mathbb{R}^3 \setminus \{ \mathbb{S}^1 \text{ and two lines} \}$

Published on 25 Mar 2026 - 16:01

score 330 · Answer 2 · 2026-03-25 12:50:50

330

Views

Showing that the product of two liftings is a lift of the product of two paths.

Published on 25 Mar 2026 - 12:50

score 163 · Answer 3 · 2018-06-28 21:15:24

163

Views

Long exact sequence for compact manifolds with boundary

Published on 28 Jun 2018 - 21:15

score 47 · Answer 4 · 2026-03-25 05:07:43

47

Views

the difference between a strip with two end glue together and a strip with two end glue together with $2\pi$ twist

Published on 25 Mar 2026 - 5:07

score 194 · Answer 5 · 2026-03-25 15:18:41

194

Views

Trivial action of fundamental group in Serre spectral sequence

Published on 25 Mar 2026 - 15:18

score 459 · Answer 6 · 2026-03-25 15:55:24

459

Views

Homotopy groups of wedge sum

Published on 25 Mar 2026 - 15:55

score 279 · Answer 7 · 2026-03-25 00:07:39

279

Views

Fundamental group of prime closed 3-manifold and it's cover

Published on 25 Mar 2026 - 0:07

score 408 · Answer 8 · 2018-06-29 16:32:42

408

Views

Let $A \subset X$; A retraction of $X$ onto $A$ is a continuous

Published on 29 Jun 2018 - 16:32

score 46 · Answer 9 · 2026-03-25 03:09:27

46

Views

Relation of $\mathbb{Z}_2$-cohomology and interger cohomology

Published on 25 Mar 2026 - 3:09

score 327 · Answer 10 · 2026-03-27 06:02:02

327

Views

Covering space of simplicial complexes

Published on 27 Mar 2026 - 6:02

score 64 · Answer 11 · 2026-03-27 11:49:07

64

Views

Proving three circles of radius 1 centred at $(0,0), (2,0), (4,0)$ homotopy equivalent to $^1∨^1∨^1$

Published on 27 Mar 2026 - 11:49

score 331 · Answer 12 · 2026-04-02 01:30:34

331

Views

"Eilenberg-MacLane property" for the classifying space of a groupoid

Published on 02 Apr 2026 - 1:30

score 115 · Answer 13 · 2018-06-30 17:24:19

115

Views

Suppose $h:S^1 \to S^1$ is nullhomotopic, and $f:S^1 \to S^1$ defined by $f(x)=-x$ Then $f\circ h$ is nullhomotopic

Published on 30 Jun 2018 - 17:24

score 464 · Answer 14 · 2018-06-30 23:09:31

Is there any continuous surjective map from $\mathbb{R}^3$ to $\mathbb{R}^3$ s.t. for every $x$ in $\mathbb{R}^3$ $f(x) \cdot x= 0$?

score 646 · Answer 15 · 2018-06-30 23:44:14

646

Views

Homology groups of $R^n $ \ a closed subset which is homeomorphic to $R^k$ for a $k$

Published on 30 Jun 2018 - 23:44

List Question

Fundamental group of $\mathbb{R}^3 \setminus \{ \mathbb{S}^1 \text{ and two lines} \}$

Showing that the product of two liftings is a lift of the product of two paths.

Long exact sequence for compact manifolds with boundary

the difference between a strip with two end glue together and a strip with two end glue together with $2\pi$ twist

Trivial action of fundamental group in Serre spectral sequence

Homotopy groups of wedge sum

Fundamental group of prime closed 3-manifold and it's cover

Let $A \subset X$; A retraction of $X$ onto $A$ is a continuous

Relation of $\mathbb{Z}_2$-cohomology and interger cohomology

Covering space of simplicial complexes

Proving three circles of radius 1 centred at $(0,0), (2,0), (4,0)$ homotopy equivalent to $^1∨^1∨^1$

"Eilenberg-MacLane property" for the classifying space of a groupoid

Suppose $h:S^1 \to S^1$ is nullhomotopic, and $f:S^1 \to S^1$ defined by $f(x)=-x$ Then $f\circ h$ is nullhomotopic

Is there any continuous surjective map from $\mathbb{R}^3$ to $\mathbb{R}^3$ s.t. for every $x$ in $\mathbb{R}^3$ $f(x) \cdot x= 0$?

Homology groups of $R^n $ \ a closed subset which is homeomorphic to $R^k$ for a $k$

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