Question

Why do all the Platonic Solids exist?

score 1.8k · Answer 1 · 2026-04-19 04:51:46

1.8k

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Why do all the Platonic Solids exist?

Published on 19 Apr 2026 - 4:51

score 73 · Answer 2 · 2026-04-15 04:51:04

73

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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 15 Apr 2026 - 4:51

score 72 · Answer 3 · 2026-04-16 10:58:04

72

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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 16 Apr 2026 - 10:58

score 1.1k · Answer 4 · 2026-04-12 18:57:05

1.1k

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

Published on 12 Apr 2026 - 18:57

score 234 · Answer 5 · 2026-04-13 00:56:31

234

Views

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

Published on 13 Apr 2026 - 0:56

score 246 · Answer 6 · 2026-04-14 03:26:26

246

Views

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

Published on 14 Apr 2026 - 3:26

score 171 · Answer 7 · 2026-04-13 04:29:02

171

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 13 Apr 2026 - 4:29

score 54 · Answer 8 · 2026-04-15 11:36:37

54

Views

Constructing fundamental neighborhood for composition of covering maps

Published on 15 Apr 2026 - 11:36

score 65 · Answer 9 · 2026-04-14 00:12:44

65

Views

Path Contains Two Points Whose Coordinates Differ by Integers

Published on 14 Apr 2026 - 0:12

score 173 · Answer 10 · 2026-04-13 02:27:26

173

Views

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

Published on 13 Apr 2026 - 2:27

score 362 · Answer 11 · 2026-04-11 16:45:37

362

Views

The disjoint union of covering spaces is again a covering space

Published on 11 Apr 2026 - 16:45

score 115 · Answer 12 · 2026-04-14 08:48:46

115

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 14 Apr 2026 - 8:48

score 1.2k · Answer 13 · 2026-04-13 05:07:39

1.2k

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Interesting results/topics in algebraic topology and representation theory

Published on 13 Apr 2026 - 5:07

score 35 · Answer 14 · 2026-04-16 14:13:15

35

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 16 Apr 2026 - 14:13

score 1.1k · Answer 15 · 2026-04-09 17:23:26

1.1k

Views

Path-lifting property: function space interpretation

Published on 09 Apr 2026 - 17:23

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

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