Question

Difficulty understanding the meaning of quotient rings with regards to polynomials.

score 635 · Answer 1 · 2022-03-03 01:44:03

635

Views

Difficulty understanding the meaning of quotient rings with regards to polynomials.

Published on 03 Mar 2022 - 1:44

score 70 · Answer 2 · 2026-04-01 03:26:24

70

Views

For Lie Groups $ H < G$, where H is embedded. The projection $\pi :G \rightarrow G/H$ maps components onto components

Published on 01 Apr 2026 - 3:26

score 68 · Answer 3 · 2026-03-30 05:13:44

68

Views

For a Lie-group G and embedded Lie-subgroups K < H < G, prove that $\pi:G/K \rightarrow G/H$ is a surjective smooth submersion

Published on 30 Mar 2026 - 5:13

score 26 · Answer 4 · 2022-03-09 18:16:23

26

Views

Sum of a set with an equivalence class

Published on 09 Mar 2022 - 18:16

score 66 · Answer 5 · 2022-03-11 21:29:23

66

Views

Trouble with understanding quotient maps

Published on 11 Mar 2022 - 21:29

score 56 · Answer 6 · 2022-03-19 19:40:04

56

Views

A quotient topological space that isn't Hausdorff

Published on 19 Mar 2022 - 19:40

score 114 · Answer 7 · 2022-03-25 02:20:51

114

Views

Reflexive coequalizers of pseudo-metric spaces

Published on 25 Mar 2022 - 2:20

score 101 · Answer 8 · 2022-03-26 15:49:39

101

Views

Showing that $D^n/\partial D^n \approx S^n$, i.e. the quotient of $n$ dimensional disk with its boundary is homeomorphic to an $n$ dimensional sphere

Published on 26 Mar 2022 - 15:49

score 48 · Answer 9 · 2026-04-01 03:27:39

48

Views

quotient topology on $A^{}$ equals subspace topology on $\pi(A)$ for $A^{}:= \pi^{-1}(\pi(A))$ open or closed.

Published on 01 Apr 2026 - 3:27

score 109 · Answer 10 · 2022-04-07 13:52:17

109

Views

Meaningful definition of angle on torus $\mathbb T^2 = \mathbb R^2 / \mathbb Z^2$

Published on 07 Apr 2022 - 13:52

score 53 · Answer 11 · 2026-02-23 08:25:18

53

Views

$P(a,b,c)=P(bc,ca,ab)$ weighted projective planes for pairwise coprime $a,b,c$

Published on 23 Feb 2026 - 8:25

score 173 · Answer 12 · 2026-04-06 03:19:39

173

Views

Compute the $\pi_{1} (S^{3} /G)$ and $H_{m} ( S^{3} / G)$ for the following $G$

Published on 06 Apr 2026 - 3:19

score 37 · Answer 13 · 2026-03-29 12:28:21

37

Views

Existence of well defined map $R/J\to R/I$ implies $J\cong M\subseteq I$?

Published on 29 Mar 2026 - 12:28

score 154 · Answer 14 · 2026-03-29 15:14:40

154

Views

Prove that this quotient space is normal

Published on 29 Mar 2026 - 15:14

score 34 · Answer 15 · 2026-03-30 00:24:37

34

Views

If the Quotient Space contains $0+U$ as it's zero element, must we not then include it in the visualization?

Published on 30 Mar 2026 - 0:24

List Question

Difficulty understanding the meaning of quotient rings with regards to polynomials.

For Lie Groups $ H < G$, where H is embedded. The projection $\pi :G \rightarrow G/H$ maps components onto components

For a Lie-group G and embedded Lie-subgroups K < H < G, prove that $\pi:G/K \rightarrow G/H$ is a surjective smooth submersion

Sum of a set with an equivalence class

Trouble with understanding quotient maps

A quotient topological space that isn't Hausdorff

Reflexive coequalizers of pseudo-metric spaces

Showing that $D^n/\partial D^n \approx S^n$, i.e. the quotient of $n$ dimensional disk with its boundary is homeomorphic to an $n$ dimensional sphere

quotient topology on $A^{}$ equals subspace topology on $\pi(A)$ for $A^{}:= \pi^{-1}(\pi(A))$ open or closed.

Meaningful definition of angle on torus $\mathbb T^2 = \mathbb R^2 / \mathbb Z^2$

$P(a,b,c)=P(bc,ca,ab)$ weighted projective planes for pairwise coprime $a,b,c$

Compute the $\pi_{1} (S^{3} /G)$ and $H_{m} ( S^{3} / G)$ for the following $G$

Existence of well defined map $R/J\to R/I$ implies $J\cong M\subseteq I$?

Prove that this quotient space is normal

If the Quotient Space contains $0+U$ as it's zero element, must we not then include it in the visualization?

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