Question

Why do all the Platonic Solids exist?

score 1.7k · Answer 1 · 2026-03-20 21:15:16

1.7k

Views

Why do all the Platonic Solids exist?

Published on 20 Mar 2026 - 21:15

score 71 · Answer 2 · 2018-04-28 20:35:57

71

Views

Let $K$ be the Klein bottle. Give examples of cover spaces $p_1:E_1\to K, p_1:E_2\to K$ each with two sheets and such that $E_1$ and $E_2$

Published on 28 Apr 2018 - 20:35

score 69 · Answer 3 · 2018-04-29 18:02:42

69

Views

Classify, except isomorphism, all the associated covering spaces of $3$ sheets on $\mathbb{S}^1\times\mathbb{S}^1$. Do the same for the

Published on 29 Apr 2018 - 18:02

score 1.1k · Answer 4 · 2018-04-30 18:24:42

1.1k

Views

Find the universal covering of $\mathbb{R}P^2\vee\mathbb{R}P^2$

Published on 30 Apr 2018 - 18:24

score 231 · Answer 5 · 2018-05-01 00:46:45

231

Views

Show that if $X$ is homotopically equivalent to $Y$, then $\widetilde{X}$ is homotopically equivalent to $\widetilde{Y}$

Published on 01 May 2018 - 0:46

score 244 · Answer 6 · 2026-03-25 04:40:29

244

Views

How to construct a certain covering of $\mathbb P^1_{\mathbb C}$ in a weighted projective space

Published on 25 Mar 2026 - 4:40

score 168 · Answer 7 · 2018-05-02 10:03:48

168

Views

Let $p: E\rightarrow B$ and $p':E' \rightarrow B$ covering map, E and E' path-connected and locally path-connected, isomorphismus between E and E'

Published on 02 May 2018 - 10:03

score 51 · Answer 8 · 2018-05-03 21:39:39

51

Views

Constructing fundamental neighborhood for composition of covering maps

Published on 03 May 2018 - 21:39

score 64 · Answer 9 · 2026-03-25 06:16:32

64

Views

Path Contains Two Points Whose Coordinates Differ by Integers

Published on 25 Mar 2026 - 6:16

score 170 · Answer 10 · 2018-05-05 19:13:01

170

Views

Finding all subgroups of $\mathbb{Z}^2$ using algebraic topology.

Published on 05 May 2018 - 19:13

score 359 · Answer 11 · 2018-05-06 01:00:56

359

Views

The disjoint union of covering spaces is again a covering space

Published on 06 May 2018 - 1:00

score 112 · Answer 12 · 2018-05-06 16:45:19

112

Views

Classify, except isomorphism, all the covering spaces on $\mathbb{S}^1$ with three branches such that the total space is not necessarily arc-connected

Published on 06 May 2018 - 16:45

score 1.2k · Answer 13 · 2018-05-09 11:26:51

1.2k

Views

Interesting results/topics in algebraic topology and representation theory

Published on 09 May 2018 - 11:26

score 32 · Answer 14 · 2018-05-12 14:35:10

32

Views

$p:X\rightarrow Y$ is a cover map, $y\in Y$ and $|p^{-1}(y)|<\infty$ then $|p^{-1}(y')|=|p^{-1}(y)|$ for all $y'\in Y$

Published on 12 May 2018 - 14:35

score 1k · Answer 15 · 2018-05-20 23:06:15

1k

Views

Path-lifting property: function space interpretation

Published on 20 May 2018 - 23:06

List Question

Why do all the Platonic Solids exist?

Let $K$ be the Klein bottle. Give examples of cover spaces $p_1:E_1\to K, p_1:E_2\to K$ each with two sheets and such that $E_1$ and $E_2$

Classify, except isomorphism, all the associated covering spaces of $3$ sheets on $\mathbb{S}^1\times\mathbb{S}^1$. Do the same for the

Find the universal covering of $\mathbb{R}P^2\vee\mathbb{R}P^2$

Show that if $X$ is homotopically equivalent to $Y$, then $\widetilde{X}$ is homotopically equivalent to $\widetilde{Y}$

How to construct a certain covering of $\mathbb P^1_{\mathbb C}$ in a weighted projective space

Let $p: E\rightarrow B$ and $p':E' \rightarrow B$ covering map, E and E' path-connected and locally path-connected, isomorphismus between E and E'

Constructing fundamental neighborhood for composition of covering maps

Path Contains Two Points Whose Coordinates Differ by Integers

Finding all subgroups of $\mathbb{Z}^2$ using algebraic topology.

The disjoint union of covering spaces is again a covering space

Classify, except isomorphism, all the covering spaces on $\mathbb{S}^1$ with three branches such that the total space is not necessarily arc-connected

Interesting results/topics in algebraic topology and representation theory

$p:X\rightarrow Y$ is a cover map, $y\in Y$ and $|p^{-1}(y)|<\infty$ then $|p^{-1}(y')|=|p^{-1}(y)|$ for all $y'\in Y$

Path-lifting property: function space interpretation

Trending Questions

Popular # Hahtags

Popular Questions