Question

Is every orientable surface a 2-folded covering of a non-orientable surface?

score 459 · Answer 1 · 2018-03-30 16:19:18

459

Views

Is every orientable surface a 2-folded covering of a non-orientable surface?

Published on 30 Mar 2018 - 16:19

score 140 · Answer 2 · 2018-03-31 10:21:50

140

Views

Universality Theorem for the Universal Cover

Published on 31 Mar 2018 - 10:21

score 104 · Answer 3 · 2018-04-10 04:17:19

104

Views

Let $H=p_*(\pi_1(E,e_0))$. show that there is a bijection between the sets $\pi_1(B,b_0)/H$ and $p^{-1}(b_0)$. It follows that the number of sheets

Published on 10 Apr 2018 - 4:17

score 814 · Answer 4 · 2018-04-10 09:22:45

814

Views

Covering of torus by orientable surface of genus g

Published on 10 Apr 2018 - 9:22

score 244 · Answer 5 · 2018-04-10 17:22:32

244

Views

Conformal branched cover from the hyperbolic plane to the euclidean plane

Published on 10 Apr 2018 - 17:22

score 132 · Answer 6 · 2026-03-25 01:18:23

132

Views

How are the sheets of $y^3 = x(x-1)(x+1)$ arranged?

Published on 25 Mar 2026 - 1:18

score 138 · Answer 7 · 2018-04-12 00:16:34

138

Views

Covering Map $S^3 \to \mathbb{RP}^3$

Published on 12 Apr 2018 - 0:16

score 176 · Answer 8 · 2026-03-22 18:53:17

176

Views

Continuous surjective map on a path connected subset of $\mathbb R^n$ which induces a covering map on a deformation retract space

Published on 22 Mar 2026 - 18:53

score 444 · Answer 9 · 2018-04-14 09:34:32

444

Views

Showing whether a certain subset is evenly covered by a map

Published on 14 Apr 2018 - 9:34

score 46 · Answer 10 · 2018-04-15 17:25:58

46

Views

open covering of $S^1\times S^1$

Published on 15 Apr 2018 - 17:25

score 64 · Answer 11 · 2018-04-16 03:42:21

64

Views

Show that $H_0=p_*(\pi_1(E,e_0))$ is a normal subgroup of $\pi_1(B, b_0)$ if and only if for every pair of pint $e_1, e_2$ of $p^{-1}(b_0)$

Published on 16 Apr 2018 - 3:42

score 463 · Answer 12 · 2018-04-18 21:02:01

463

Views

A path connected, locally path connected has a universal covering space implies that the space is semi-locally simply connected

Published on 18 Apr 2018 - 21:02

score 222 · Answer 13 · 2018-04-22 20:20:56

222

Views

Why is no covering space of $\mathbb{R}P^2 \vee S^1$ homeomorphic to an orientable surface?

Published on 22 Apr 2018 - 20:20

score 565 · Answer 14 · 2018-04-24 08:43:17

565

Views

Topological structure of the dunce hat

Published on 24 Apr 2018 - 8:43

score 255 · Answer 15 · 2018-04-25 21:57:41

255

Views

Galois groups and fundamental groups

Published on 25 Apr 2018 - 21:57

List Question

Is every orientable surface a 2-folded covering of a non-orientable surface?

Universality Theorem for the Universal Cover

Let $H=p_*(\pi_1(E,e_0))$. show that there is a bijection between the sets $\pi_1(B,b_0)/H$ and $p^{-1}(b_0)$. It follows that the number of sheets

Covering of torus by orientable surface of genus g

Conformal branched cover from the hyperbolic plane to the euclidean plane

How are the sheets of $y^3 = x(x-1)(x+1)$ arranged?

Covering Map $S^3 \to \mathbb{RP}^3$

Continuous surjective map on a path connected subset of $\mathbb R^n$ which induces a covering map on a deformation retract space

Showing whether a certain subset is evenly covered by a map

open covering of $S^1\times S^1$

Show that $H_0=p_*(\pi_1(E,e_0))$ is a normal subgroup of $\pi_1(B, b_0)$ if and only if for every pair of pint $e_1, e_2$ of $p^{-1}(b_0)$

A path connected, locally path connected has a universal covering space implies that the space is semi-locally simply connected

Why is no covering space of $\mathbb{R}P^2 \vee S^1$ homeomorphic to an orientable surface?

Topological structure of the dunce hat

Galois groups and fundamental groups

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