List questions from quotient-spaces

Published on 21 Mar 2026 - 22:20

23

Views

Why is $V/W$ all multiples of $(0,1)^T$ given $V = \mathbb{R}^2$ and $W$ is all multiples of $(1,0)^T$?

Published on 10 Sep 2020 - 7:47

131

Views

Discrete subgroups of $\mathbb R^1\times S^1$ such that the quotient is compact

Published on 10 Sep 2020 - 8:17

90

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Embedding into adjunction space without closedness assumption

Published on 10 Sep 2020 - 18:47

93

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Does the quotient ${\mathrm{Sp}(n) \over \mathrm{U}(n)}$ have group structure?

Published on 28 Mar 2026 - 1:46

82

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Comparing 2 universal properties.

Published on 21 Mar 2026 - 22:20

37

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What does it mean for $g_{1}G^{'} = g_{2}G^{'}$ in cosets?

Published on 21 Mar 2026 - 22:20

247

Views

Can the fundamental group and homology of the line with two origins be computed as a direct limit?

Published on 28 Mar 2026 - 14:56

275

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Projective line with two points identified

Published on 25 Mar 2026 - 12:14

135

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Embedding Euclidean Space Into Real Projective Space

Published on 02 Apr 2026 - 3:18

364

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How is $\mathbb R^n$ a quotient group of $E(n)$ by $SO(n)$ for any $n$.

Published on 20 Sep 2020 - 6:58

354

Views

Image and kernel of quatient map $q: V \to V / U$, $q(x)=[x]$

Published on 25 Mar 2026 - 23:38

57

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Which space is homeomorphic to $X / \sim$

Published on 20 Sep 2020 - 22:41

67

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Question about quotient space of K-Topology

Published on 23 Sep 2020 - 12:09

359

Views

Detail in a Proof by Hatcher - Quotient of a $\Delta$-Complex

Published on 27 Mar 2026 - 19:43

List Question

What is $G/Z(G)$ in case of $G$ is the group of quaternions?

Why is $V/W$ all multiples of $(0,1)^T$ given $V = \mathbb{R}^2$ and $W$ is all multiples of $(1,0)^T$?

Discrete subgroups of $\mathbb R^1\times S^1$ such that the quotient is compact

Embedding into adjunction space without closedness assumption

Does the quotient ${\mathrm{Sp}(n) \over \mathrm{U}(n)}$ have group structure?

Comparing 2 universal properties.

What does it mean for $g_{1}G^{'} = g_{2}G^{'}$ in cosets?

Can the fundamental group and homology of the line with two origins be computed as a direct limit?

Projective line with two points identified

Embedding Euclidean Space Into Real Projective Space

How is $\mathbb R^n$ a quotient group of $E(n)$ by $SO(n)$ for any $n$.

Image and kernel of quatient map $q: V \to V / U$, $q(x)=[x]$

Which space is homeomorphic to $X / \sim$

Question about quotient space of K-Topology

Detail in a Proof by Hatcher - Quotient of a $\Delta$-Complex

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