Question

Are "rectangle" subsets of a flat torus exactly the products of connected sets?

score 58 · Answer 1 · 2026-03-28 22:13:47

58

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Are "rectangle" subsets of a flat torus exactly the products of connected sets?

Published on 28 Mar 2026 - 22:13

score 57 · Answer 2 · 2022-12-08 18:01:13

57

Views

Identify the points $0$ and $1$ on $[0,1]$ and show that the resulting space $[0,1]/\sim$ is homeomorphic to $S^1$.

Published on 08 Dec 2022 - 18:01

score 371 · Answer 3 · 2026-04-03 06:39:03

371

Views

Foundation of mathematical objects modulo isomorphism in ZFC

Published on 03 Apr 2026 - 6:39

score 155 · Answer 4 · 2022-12-14 08:51:03

155

Views

Equivalence relation on real projective plane $\mathbb{P}^2$

Published on 14 Dec 2022 - 8:51

score 135 · Answer 5 · 2026-04-06 13:08:13

135

Views

Is the quotient topological space $[0,1]/(0,1)$ contractible?

Published on 06 Apr 2026 - 13:08

score 71 · Answer 6 · 2022-12-16 10:24:16

71

Views

Suspension of interval is homeomorphic to $D^2$

Published on 16 Dec 2022 - 10:24

score 75 · Answer 7 · 2022-12-24 13:13:05

75

Views

How do I prove that this map on the quotient space is well defined?

Published on 24 Dec 2022 - 13:13

score 46 · Answer 8 · 2026-03-26 06:20:37

46

Views

Prove that the $\,\dim(C^{\infty}/W) < \infty $

Published on 26 Mar 2026 - 6:20

score 97 · Answer 9 · 2022-12-30 12:33:56

97

Views

Show that the quotient of an Hausdorff space need not be Hausdorff

Published on 30 Dec 2022 - 12:33

score 134 · Answer 10 · 2022-12-30 16:43:40

134

Views

Proving a given map to be a quotient map.

Published on 30 Dec 2022 - 16:43

score 63 · Answer 11 · 2023-01-05 18:02:42

63

Views

Is the mapping cylinder of a map between two locally compact Hausdorff spaces locally compact?

Published on 05 Jan 2023 - 18:02

score 65 · Answer 12 · 2023-01-07 16:55:42

65

Views

Topological quotients of $\mathbb{R}^2$ by subspaces

Published on 07 Jan 2023 - 16:55

score 55 · Answer 13 · 2023-01-09 10:01:32

55

Views

Finding the codimension of a subspace with certain property regarding it's linear functionals.

Published on 09 Jan 2023 - 10:01

score 224 · Answer 14 · 2023-01-11 04:58:25

224

Views

Quotient Space by group action

Published on 11 Jan 2023 - 4:58

score 62 · Answer 15 · 2023-01-11 17:04:22

62

Views

Is $[\star]$ a limit point of the sequence $\langle [\frac{1}{1}] , [\frac{1}{2}], [\frac{1}{3}], \dots \rangle$?

Published on 11 Jan 2023 - 17:04

List Question

Are "rectangle" subsets of a flat torus exactly the products of connected sets?

Identify the points $0$ and $1$ on $[0,1]$ and show that the resulting space $[0,1]/\sim$ is homeomorphic to $S^1$.

Foundation of mathematical objects modulo isomorphism in ZFC

Equivalence relation on real projective plane $\mathbb{P}^2$

Is the quotient topological space $[0,1]/(0,1)$ contractible?

Suspension of interval is homeomorphic to $D^2$

How do I prove that this map on the quotient space is well defined?

Prove that the $\,\dim(C^{\infty}/W) < \infty $

Show that the quotient of an Hausdorff space need not be Hausdorff

Proving a given map to be a quotient map.

Is the mapping cylinder of a map between two locally compact Hausdorff spaces locally compact?

Topological quotients of $\mathbb{R}^2$ by subspaces

Finding the codimension of a subspace with certain property regarding it's linear functionals.

Quotient Space by group action

Is $[\star]$ a limit point of the sequence $\langle [\frac{1}{1}] , [\frac{1}{2}], [\frac{1}{3}], \dots \rangle$?

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