Question

Let $X = [0,1]$ and $\sim$ have the following equivalence relation over $X$: is the quotient first countable?

score 58 · Answer 1 · 2026-03-21 22:20:00

58

Views

Let $X = [0,1]$ and $\sim$ have the following equivalence relation over $X$: is the quotient first countable?

Published on 21 Mar 2026 - 22:20

score 82 · Answer 2 · 2020-11-14 20:36:36

82

Views

If $\dim (V/ W) = 1$, what can we say about $\dim(\overline{V}/\overline{W})$

Published on 14 Nov 2020 - 20:36

score 201 · Answer 3 · 2026-03-26 01:12:42

201

Views

Let $X$ be the disjoint union of copies of a subspace of $\mathbb{R}$. Is the quotient of $X$ by identifying accumulation points first countable?

Published on 26 Mar 2026 - 1:12

score 22 · Answer 4 · 2020-11-15 15:50:59

22

Views

($a$ - algebraic element and $I_a$ - maximal ideal) => ($K[a]$ is isomorphic with $K[x]/I_a$)

Published on 15 Nov 2020 - 15:50

score 54 · Answer 5 · 2020-11-15 22:15:14

54

Views

Show that $(X \times Y)^{\ast}$ with the resulting quotient topology is homeomorphic to $Y$

Published on 15 Nov 2020 - 22:15

score 69 · Answer 6 · 2026-03-26 21:12:41

69

Views

relations between Minimal Polynomial on Quotient Space, invariant subspace and original vector space

Published on 26 Mar 2026 - 21:12

score 117 · Answer 7 · 2026-03-26 01:02:04

117

Views

Show that $Y$ is not first-countable at $[0]$

Published on 26 Mar 2026 - 1:02

score 18 · Answer 8 · 2026-03-28 05:22:17

18

Views

Covering Space: definition of $\tilde{X}/Aut(\tilde{X},p)$

Published on 28 Mar 2026 - 5:22

score 25 · Answer 9 · 2020-11-22 18:33:51

25

Views

Doubt in saturated sets

Published on 22 Nov 2020 - 18:33

score 208 · Answer 10 · 2020-11-22 19:04:17

208

Views

Quotient space of $C[0,1]$

Published on 22 Nov 2020 - 19:04

score 53 · Answer 11 · 2026-03-28 05:22:21

53

Views

What is the cokernel of this map $\bar{1} \mapsto \bar{13}$?

Published on 28 Mar 2026 - 5:22

score 222 · Answer 12 · 2026-03-29 11:00:57

222

Views

How to visualize quotient manifold theorem

Published on 29 Mar 2026 - 11:00

score 131 · Answer 13 · 2020-11-24 02:30:01

131

Views

Exercise 12.9 book of Manetti (Topology)

Published on 24 Nov 2020 - 2:30

score 174 · Answer 14 · 2020-11-24 13:32:00

174

Views

What exactly is $\mathbb{Q}_p^/(\mathbb{Q}_p^)^2$ supposed to be?

Published on 24 Nov 2020 - 13:32

score 277 · Answer 15 · 2026-03-30 03:58:36

277

Views

Quotient $SO(3)/SO(2)$

Published on 30 Mar 2026 - 3:58

List Question

Let $X = [0,1]$ and $\sim$ have the following equivalence relation over $X$: is the quotient first countable?

If $\dim (V/ W) = 1$, what can we say about $\dim(\overline{V}/\overline{W})$

Let $X$ be the disjoint union of copies of a subspace of $\mathbb{R}$. Is the quotient of $X$ by identifying accumulation points first countable?

($a$ - algebraic element and $I_a$ - maximal ideal) => ($K[a]$ is isomorphic with $K[x]/I_a$)

Show that $(X \times Y)^{\ast}$ with the resulting quotient topology is homeomorphic to $Y$

relations between Minimal Polynomial on Quotient Space, invariant subspace and original vector space

Show that $Y$ is not first-countable at $[0]$

Covering Space: definition of $\tilde{X}/Aut(\tilde{X},p)$

Doubt in saturated sets

Quotient space of $C[0,1]$

What is the cokernel of this map $\bar{1} \mapsto \bar{13}$?

How to visualize quotient manifold theorem

Exercise 12.9 book of Manetti (Topology)

What exactly is $\mathbb{Q}_p^/(\mathbb{Q}_p^)^2$ supposed to be?

Quotient $SO(3)/SO(2)$

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