Question

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

score 690 · Answer 1 · 2019-01-06 05:38:04

690

Views

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

Published on 06 Jan 2019 - 5:38

score 36 · Answer 2 · 2019-01-08 20:59:04

36

Views

regular covering transformation

Published on 08 Jan 2019 - 20:59

score 38 · Answer 3 · 2026-03-25 09:31:51

38

Views

Covering with total space a CW complex

Published on 25 Mar 2026 - 9:31

score 263 · Answer 4 · 2019-01-10 00:08:34

263

Views

Cover of a simply connected and lpc space is trivial

Published on 10 Jan 2019 - 0:08

score 481 · Answer 5 · 2026-02-23 01:25:08

481

Views

pull back of smooth covering space is injective

Published on 23 Feb 2026 - 1:25

score 440 · Answer 6 · 2019-01-13 17:49:35

440

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 13 Jan 2019 - 17:49

score 105 · Answer 7 · 2019-01-14 06:13:31

105

Views

Irregular covering of 2-holed torus $S_2$

Published on 14 Jan 2019 - 6:13

score 169 · Answer 8 · 2026-03-25 07:41:48

169

Views

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

Published on 25 Mar 2026 - 7:41

score 74 · Answer 9 · 2019-01-16 18:00:48

74

Views

Degree of universal cover of simple Lie group

Published on 16 Jan 2019 - 18:00

score 110 · Answer 10 · 2019-01-17 22:47:44

110

Views

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

Published on 17 Jan 2019 - 22:47

score 32 · Answer 11 · 2026-03-25 15:26:37

32

Views

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

Published on 25 Mar 2026 - 15:26

score 135 · Answer 12 · 2019-01-21 17:33:58

135

Views

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

Published on 21 Jan 2019 - 17:33

score 1.1k · Answer 13 · 2019-01-22 17:22:07

1.1k

Views

This covering map is homeomorphism

Published on 22 Jan 2019 - 17:22

score 264 · Answer 14 · 2019-01-22 17:33:48

264

Views

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

Published on 22 Jan 2019 - 17:33

score 547 · Answer 15 · 2019-01-27 15:57:25

547

Views

representing covering space by permutations

Published on 27 Jan 2019 - 15:57

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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