Question

Classification of covering spaces for spaces that are not locally path connected: counterexamples?

score 693 · Answer 1 · 2026-04-10 16:41:02

693

Views

Classification of covering spaces for spaces that are not locally path connected: counterexamples?

Published on 10 Apr 2026 - 16:41

score 39 · Answer 2 · 2026-04-11 09:26:24

39

Views

regular covering transformation

Published on 11 Apr 2026 - 9:26

score 41 · Answer 3 · 2026-05-10 20:01:03

41

Views

Covering with total space a CW complex

Published on 10 May 2026 - 20:01

score 266 · Answer 4 · 2026-04-13 18:43:27

266

Views

Cover of a simply connected and lpc space is trivial

Published on 13 Apr 2026 - 18:43

score 483 · Answer 5 · 2026-04-16 02:58:47

483

Views

pull back of smooth covering space is injective

Published on 16 Apr 2026 - 2:58

score 443 · Answer 6 · 2026-04-15 18:22:14

443

Views

Let $q\colon E\to X$ be a covering map. If $E$ is compact then $X$ is compact and $q$ is a finite-sheeted covering.

Published on 15 Apr 2026 - 18:22

score 108 · Answer 7 · 2026-04-16 03:44:09

108

Views

Irregular covering of 2-holed torus $S_2$

Published on 16 Apr 2026 - 3:44

score 172 · Answer 8 · 2026-05-11 01:23:01

172

Views

Lie group map whose differential is an isomorphism is a covering map

Published on 11 May 2026 - 1:23

score 79 · Answer 9 · 2026-04-17 04:27:41

79

Views

Degree of universal cover of simple Lie group

Published on 17 Apr 2026 - 4:27

score 113 · Answer 10 · 2026-04-13 18:40:12

113

Views

Show that a finite generated subgroup $H$ of $G$ with index 3 exists which is not normal in $G$.

Published on 13 Apr 2026 - 18:40

score 48 · Answer 11 · 2026-05-10 14:59:43

48

Views

$\mathrm{LMod}(X)$ has finite index in $\mathrm{Mod}(X)$

Published on 10 May 2026 - 14:59

score 138 · Answer 12 · 2026-04-16 03:32:49

138

Views

Are there more intuitive and/or illustrative reason for why covering maps do not compose besides the classical counterexample?

Published on 16 Apr 2026 - 3:32

score 1.1k · Answer 13 · 2026-04-15 11:45:23

1.1k

Views

This covering map is homeomorphism

Published on 15 Apr 2026 - 11:45

score 267 · Answer 14 · 2026-04-15 03:23:47

267

Views

The fundamental group of the Lattice - (R x Z) U (Z x R)

Published on 15 Apr 2026 - 3:23

score 550 · Answer 15 · 2026-04-15 13:09:28

550

Views

representing covering space by permutations

Published on 15 Apr 2026 - 13:09

List Question

Classification of covering spaces for spaces that are not locally path connected: counterexamples?

regular covering transformation

Covering with total space a CW complex

Cover of a simply connected and lpc space is trivial

pull back of smooth covering space is injective

Let $q\colon E\to X$ be a covering map. If $E$ is compact then $X$ is compact and $q$ is a finite-sheeted covering.

Irregular covering of 2-holed torus $S_2$

Lie group map whose differential is an isomorphism is a covering map

Degree of universal cover of simple Lie group

Show that a finite generated subgroup $H$ of $G$ with index 3 exists which is not normal in $G$.

$\mathrm{LMod}(X)$ has finite index in $\mathrm{Mod}(X)$

Are there more intuitive and/or illustrative reason for why covering maps do not compose besides the classical counterexample?

This covering map is homeomorphism

The fundamental group of the Lattice - (R x Z) U (Z x R)

representing covering space by permutations

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