Question

Homogeneous space that is not Quotient space; Quotient space that is not Homogeneous space

score 244 · Answer 1 · 2026-03-26 06:11:01

244

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Homogeneous space that is not Quotient space; Quotient space that is not Homogeneous space

Published on 26 Mar 2026 - 6:11

score 280 · Answer 2 · 2021-06-24 22:12:24

280

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If an equivalence relation is compact on a compactum then its quotient is Hausdorff?

Published on 24 Jun 2021 - 22:12

score 236 · Answer 3 · 2026-03-28 23:16:36

236

Views

Prove that, $T/S^1_a\simeq S^2\vee S^1$ where $T$ be the torus which is a CW complex with $1$-skeleton $S^1\vee S^1$ (denoted by $a,b$ respectively)

Published on 28 Mar 2026 - 23:16

score 167 · Answer 4 · 2021-07-12 15:00:40

167

Views

advanced calculus by Lynn Harold Loomis and Shlomo Sternberg - question 4.12

Published on 12 Jul 2021 - 15:00

score 124 · Answer 5 · 2021-07-15 04:08:43

124

Views

Intuition behind the notion of quotient topology.

Published on 15 Jul 2021 - 4:08

score 89 · Answer 6 · 2021-07-16 07:20:03

89

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A problem on identification of a quotient space .

Published on 16 Jul 2021 - 7:20

score 151 · Answer 7 · 2021-07-18 12:27:12

151

Views

Attaching spaces hausdorff property and compactness

Published on 18 Jul 2021 - 12:27

score 172 · Answer 8 · 2026-03-28 21:27:05

172

Views

Is $SU(n)/\mathbb Z_n$ a Lie group?

Published on 28 Mar 2026 - 21:27

score 69 · Answer 9 · 2026-04-02 22:12:23

69

Views

Show that if $n$ is odd, then $\frac {RP^n}{RP^{n-2}} \simeq S^n \vee S^{n-1} $

Published on 02 Apr 2026 - 22:12

score 297 · Answer 10 · 2026-04-02 22:07:16

297

Views

Acting on CP(2) by conjugation

Published on 02 Apr 2026 - 22:07

score 44 · Answer 11 · 2026-03-28 22:53:41

44

Views

Topological cone using cosets

Published on 28 Mar 2026 - 22:53

score 134 · Answer 12 · 2026-03-25 13:56:19

134

Views

Homotopy groups of projective Lie groups PO(N), PSO(N), and PSpin(N)

Published on 25 Mar 2026 - 13:56

score 88 · Answer 13 · 2021-07-31 23:58:16

88

Views

The basis for $V=R[x]/(x^3-x)$ quotient space

Published on 31 Jul 2021 - 23:58

score 657 · Answer 14 · 2026-04-02 22:10:36

657

Views

Homeomorphism between the real projective plane and a quotient of unit square

Published on 02 Apr 2026 - 22:10

score 176 · Answer 15 · 2021-08-01 17:34:57

176

Views

Prove that $\frac{{S^1} \times [0,1]}{S^1\times \{1\}}$ is homeomorphic to $\mathbb{D}^2$

Published on 01 Aug 2021 - 17:34

List Question

Homogeneous space that is not Quotient space; Quotient space that is not Homogeneous space

If an equivalence relation is compact on a compactum then its quotient is Hausdorff?

Prove that, $T/S^1_a\simeq S^2\vee S^1$ where $T$ be the torus which is a CW complex with $1$-skeleton $S^1\vee S^1$ (denoted by $a,b$ respectively)

advanced calculus by Lynn Harold Loomis and Shlomo Sternberg - question 4.12

Intuition behind the notion of quotient topology.

A problem on identification of a quotient space .

Attaching spaces hausdorff property and compactness

Is $SU(n)/\mathbb Z_n$ a Lie group?

Show that if $n$ is odd, then $\frac {RP^n}{RP^{n-2}} \simeq S^n \vee S^{n-1} $

Acting on CP(2) by conjugation

Topological cone using cosets

Homotopy groups of projective Lie groups PO(N), PSO(N), and PSpin(N)

The basis for $V=R[x]/(x^3-x)$ quotient space

Homeomorphism between the real projective plane and a quotient of unit square

Prove that $\frac{{S^1} \times [0,1]}{S^1\times \{1\}}$ is homeomorphic to $\mathbb{D}^2$

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