Question

If $ E \rightarrow X $ is a covering, then $ |\pi_1 (X)|$ divides to $ \chi (E) $

score 45 · Answer 1 · 2019-06-11 18:46:26

45

Views

If $ E \rightarrow X $ is a covering, then $ |\pi_1 (X)|$ divides to $ \chi (E) $

Published on 11 Jun 2019 - 18:46

score 76 · Answer 2 · 2019-06-16 23:48:51

76

Views

Let $G$ be a Lie Group, $H$ a disconnected closed Lie Subgroup, then $\pi: G/H_0 \to G/H$ is a covering map.

Published on 16 Jun 2019 - 23:48

score 584 · Answer 3 · 2026-03-25 04:37:33

584

Views

Mapping Class Group of Annulus

Published on 25 Mar 2026 - 4:37

score 141 · Answer 4 · 2019-06-24 17:11:04

141

Views

Let $q: \mathbb{R} \rightarrow S^1$ be the map $\theta \rightarrow e^{i\theta}$. Given any continuous function $f:...$

Published on 24 Jun 2019 - 17:11

score 500 · Answer 5 · 2019-06-24 20:53:41

500

Views

Classify 2-fold covering spaces of three-times punctured plane

Published on 24 Jun 2019 - 20:53

score 54 · Answer 6 · 2019-06-25 20:51:51

54

Views

Correspondence $(\mathbb{R}P^2,q) \rightarrow (\mathbb{R}^2,(0,0))$ and $(\mathbb{R}P^2,q) \rightarrow (S^1 \times S^1, x_0)$

Published on 25 Jun 2019 - 20:51

score 45 · Answer 7 · 2026-03-25 19:01:51

45

Views

When is the spin group a universal covering?

Published on 25 Mar 2026 - 19:01

score 678 · Answer 8 · 2019-06-26 18:38:17

678

Views

Cover of the space obtained by gluing the boundary circle of a Möbius strip to the torus

Published on 26 Jun 2019 - 18:38

score 228 · Answer 9 · 2026-03-25 20:35:20

228

Views

Explicit homeomorphism $SL(2,\mathbb{C})\cong SU(2)\times\mathbb{R}^3$.

Published on 25 Mar 2026 - 20:35

score 77 · Answer 10 · 2019-06-24 19:41:23

77

Views

Classify 2-fold covering spaces of three-times punctured plane

Published on 24 Jun 2019 - 19:41

score 243 · Answer 11 · 2019-06-30 19:59:56

243

Views

Free Actions of Finite Groups on Surface of Genus $2$

Published on 30 Jun 2019 - 19:59

score 85 · Answer 12 · 2026-03-25 14:27:09

85

Views

I don't understand this theorem about covering spaces or it is a typo?

Published on 25 Mar 2026 - 14:27

score 30 · Answer 13 · 2019-07-12 16:41:04

30

Views

Does N-fold Composition of Rotations lead to a covering?

Published on 12 Jul 2019 - 16:41

score 74 · Answer 14 · 2026-03-26 04:53:40

74

Views

In which n, do we relate O(n) and Spin(n) to SO(n) via a direct product?

Published on 26 Mar 2026 - 4:53

score 416 · Answer 15 · 2019-07-15 11:07:27

416

Views

Deck or Monodromy actions to define homology with local coefficients

Published on 15 Jul 2019 - 11:07

List Question

If $ E \rightarrow X $ is a covering, then $ |\pi_1 (X)|$ divides to $ \chi (E) $

Let $G$ be a Lie Group, $H$ a disconnected closed Lie Subgroup, then $\pi: G/H_0 \to G/H$ is a covering map.

Mapping Class Group of Annulus

Let $q: \mathbb{R} \rightarrow S^1$ be the map $\theta \rightarrow e^{i\theta}$. Given any continuous function $f:...$

Classify 2-fold covering spaces of three-times punctured plane

Correspondence $(\mathbb{R}P^2,q) \rightarrow (\mathbb{R}^2,(0,0))$ and $(\mathbb{R}P^2,q) \rightarrow (S^1 \times S^1, x_0)$

When is the spin group a universal covering?

Cover of the space obtained by gluing the boundary circle of a Möbius strip to the torus

Explicit homeomorphism $SL(2,\mathbb{C})\cong SU(2)\times\mathbb{R}^3$.

Classify 2-fold covering spaces of three-times punctured plane

Free Actions of Finite Groups on Surface of Genus $2$

I don't understand this theorem about covering spaces or it is a typo?

Does N-fold Composition of Rotations lead to a covering?

In which n, do we relate O(n) and Spin(n) to SO(n) via a direct product?

Deck or Monodromy actions to define homology with local coefficients

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