List questions from covering-spaces

Published on 26 Oct 2019 - 2:21

615

Views

topological 2 fold covering

Published on 30 Oct 2019 - 16:05

226

Views

Trivial covering of a topological space

Published on 25 Mar 2026 - 3:07

103

Views

Restriction of natural projection & covering.

Published on 06 Nov 2019 - 5:22

99

Views

Galois group of a polynomial with coefficients in $\mathbb{C}(x)$ and deck transformations of the covering of $\mathbb{C}$

Published on 07 Nov 2019 - 11:23

19

Views

Factors of a holomorphic covering

Published on 09 Nov 2019 - 8:26

34

Views

A morphism of coverings between coverings of the same degree.

Published on 17 Nov 2019 - 22:56

380

Views

Do covering spaces have the homotopy lifting property?

Published on 19 Nov 2019 - 10:30

335

Views

Does the torus cover the punctured disc?

Published on 20 Nov 2019 - 12:34

126

Views

Basic question about G-coverings

Published on 23 Nov 2019 - 14:51

54

Views

Why isn't the surjectivity of a covering map implied by its definition?

Published on 26 Nov 2019 - 6:32

56

Views

Pulling up the group action on the covering space

Published on 27 Nov 2019 - 1:14

94

Views

show that the map $f: \mathbb{R}P^2 \vee\mathbb{R}P^2 \rightarrow S^1$ is nullhomotopic.

Published on 05 Dec 2019 - 4:14

467

Views

Proving that there doesn't exist a free $\mathbb{Z}_2\times \mathbb{Z}_2$ action on $S^n$.

Published on 08 Dec 2019 - 5:02

501

Views

Local isometry implies covering map for manifolds with boundary

Published on 26 Mar 2026 - 9:39

List Question

Does the homotopy lifting property imply that the lifts of the homotopic maps are homotopic?

topological 2 fold covering

Trivial covering of a topological space

Restriction of natural projection & covering.

Galois group of a polynomial with coefficients in $\mathbb{C}(x)$ and deck transformations of the covering of $\mathbb{C}$

Factors of a holomorphic covering

A morphism of coverings between coverings of the same degree.

Do covering spaces have the homotopy lifting property?

Does the torus cover the punctured disc?

Basic question about G-coverings

Why isn't the surjectivity of a covering map implied by its definition?

Pulling up the group action on the covering space

show that the map $f: \mathbb{R}P^2 \vee\mathbb{R}P^2 \rightarrow S^1$ is nullhomotopic.

Proving that there doesn't exist a free $\mathbb{Z}_2\times \mathbb{Z}_2$ action on $S^n$.

Local isometry implies covering map for manifolds with boundary

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