Question

Properties of covering spaces replacing base points by contractible subspaces

score 109 · Answer 1 · 2026-02-23 04:48:51

109

Views

Properties of covering spaces replacing base points by contractible subspaces

Published on 23 Feb 2026 - 4:48

score 561 · Answer 2 · 2026-03-25 03:24:14

561

Views

Does maps between fundamental groups induces a continuous map between spaces?

Published on 25 Mar 2026 - 3:24

score 107 · Answer 3 · 2019-02-10 18:42:08

107

Views

Does a deck transformation have a homotopy that lifts to it?

Published on 10 Feb 2019 - 18:42

score 145 · Answer 4 · 2026-03-25 19:02:15

145

Views

Surface covered by hyperbolic plane admits a hyperbolic metric

Published on 25 Mar 2026 - 19:02

score 505 · Answer 5 · 2026-03-25 09:29:58

505

Views

Let $X$ be a connected CW complex and $G$ a group such that every $\pi_1(X)\to G$ is trivial. Show that every $X\to K(G, 1)$ is nullhomotopic.

Published on 25 Mar 2026 - 9:29

score 148 · Answer 6 · 2019-02-12 15:22:51

148

Views

Does the covering involution lift to the pullback cover?

Published on 12 Feb 2019 - 15:22

score 89 · Answer 7 · 2019-02-12 23:02:00

89

Views

Homotopy classes of $X$ and that of its universal covering space.

Published on 12 Feb 2019 - 23:02

score 71 · Answer 8 · 2019-02-13 16:51:14

71

Views

If $f_0=\omega_m$ and $f_1=\omega_n$, why is it not automatic that $\tilde f_0 = \tilde \omega_m$ and $\tilde f_1 = \tilde \omega_n$?

Published on 13 Feb 2019 - 16:51

score 651 · Answer 9 · 2026-03-25 12:54:48

651

Views

Computing volume of Riemannian manifolds and its $n$-sheeted covering

Published on 25 Mar 2026 - 12:54

score 102 · Answer 10 · 2019-02-15 17:45:39

102

Views

(Covering space) Does Deck move whole sheets in whole sheets?

Published on 15 Feb 2019 - 17:45

score 178 · Answer 11 · 2019-02-21 15:17:26

178

Views

Provide a three-fold connected non-regular covering of $\mathbb{S}^1 \vee \mathbb{T}^2$ along with its projection

Published on 21 Feb 2019 - 15:17

score 1k · Answer 12 · 2019-02-22 06:22:58

1k

Views

Local homeomorphism + curve lifting property, gives a covering map

Published on 22 Feb 2019 - 6:22

score 307 · Answer 13 · 2026-03-25 06:06:34

307

Views

is every path-connected covering of the Moebius strip a Galois cover?

Published on 25 Mar 2026 - 6:06

score 145 · Answer 14 · 2026-03-25 16:00:10

145

Views

Monodromies of complex differential equation

Published on 25 Mar 2026 - 16:00

score 383 · Answer 15 · 2026-03-25 06:05:23

383

Views

possible number of sheets for a Moebius band covering

Published on 25 Mar 2026 - 6:05

List Question

Properties of covering spaces replacing base points by contractible subspaces

Does maps between fundamental groups induces a continuous map between spaces?

Does a deck transformation have a homotopy that lifts to it?

Surface covered by hyperbolic plane admits a hyperbolic metric

Let $X$ be a connected CW complex and $G$ a group such that every $\pi_1(X)\to G$ is trivial. Show that every $X\to K(G, 1)$ is nullhomotopic.

Does the covering involution lift to the pullback cover?

Homotopy classes of $X$ and that of its universal covering space.

If $f_0=\omega_m$ and $f_1=\omega_n$, why is it not automatic that $\tilde f_0 = \tilde \omega_m$ and $\tilde f_1 = \tilde \omega_n$?

Computing volume of Riemannian manifolds and its $n$-sheeted covering

(Covering space) Does Deck move whole sheets in whole sheets?

Provide a three-fold connected non-regular covering of $\mathbb{S}^1 \vee \mathbb{T}^2$ along with its projection

Local homeomorphism + curve lifting property, gives a covering map

is every path-connected covering of the Moebius strip a Galois cover?

Monodromies of complex differential equation

possible number of sheets for a Moebius band covering

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