Question

Quotient of affine space under negation

score 37 · Answer 1 · 2026-03-27 23:20:01

37

Views

Quotient of affine space under negation

Published on 27 Mar 2026 - 23:20

score 76 · Answer 2 · 2026-03-30 11:17:06

76

Views

fundamental group of quotient (singular) tori

Published on 30 Mar 2026 - 11:17

score 177 · Answer 3 · 2026-03-27 16:27:08

177

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Unique Haar measure on quotient is pushforward

Published on 27 Mar 2026 - 16:27

score 198 · Answer 4 · 2022-05-29 12:22:54

198

Views

A quotient of the general linear group

Published on 29 May 2022 - 12:22

score 84 · Answer 5 · 2022-05-30 14:59:35

84

Views

Prove that the induced map $\tilde{f}: X/\sim \to Y/\square$ is continuous; moreover, if $f$ is an identification, then so is $\tilde{f}$.

Published on 30 May 2022 - 14:59

score 242 · Answer 6 · 2022-05-30 17:15:30

242

Views

Using $\ker$ as an equivalence relation in general topology

Published on 30 May 2022 - 17:15

score 37 · Answer 7 · 2022-06-01 20:22:22

37

Views

How does an element in the cohomology of a sequence of $R$ modules look like?

Published on 01 Jun 2022 - 20:22

score 230 · Answer 8 · 2022-06-02 12:49:59

230

Views

Suppose U = { $(x_1, x_2, ....) \in \mathbf{F^{\infty}} : x_j \neq 0 $ for only finitely many j }. Prove $\mathbf{F^\infty}/U$ is infinite dim.

Published on 02 Jun 2022 - 12:49

score 19 · Answer 9 · 2026-03-27 16:25:20

19

Views

Prove $U^{-1}R \cong R[\{X_s\}_{s \in U}]/(sX_s - 1).$

Published on 27 Mar 2026 - 16:25

score 114 · Answer 10 · 2022-06-06 07:29:24

114

Views

Quotient Space on Normed Vector Spaces, Notation and Intuition

Published on 06 Jun 2022 - 7:29

score 408 · Answer 11 · 2022-06-11 14:30:22

408

Views

The quotient space of the equivalence relation $x^2-y = x'^2-y'$

Published on 11 Jun 2022 - 14:30

score 265 · Answer 12 · 2026-03-22 01:32:35

265

Views

Concept of quotient map and quotient topology.

Published on 22 Mar 2026 - 1:32

score 32 · Answer 13 · 2022-06-15 18:03:53

32

Views

How does an element in $I^n(R/J)$ looks like if $R$ is a ring and $I,J$ are ideals?

Published on 15 Jun 2022 - 18:03

score 147 · Answer 14 · 2022-06-15 19:53:39

147

Views

$D^{n}$ with all but one edge identified with a point is homeomorphic to $D^{n}$.

Published on 15 Jun 2022 - 19:53

score 74 · Answer 15 · 2022-06-19 10:34:33

74

Views

Need help filling in the details left out in Munkres' example no. 4 in the section on quotient spaces.

Published on 19 Jun 2022 - 10:34

List Question

Quotient of affine space under negation

fundamental group of quotient (singular) tori

Unique Haar measure on quotient is pushforward

A quotient of the general linear group

Prove that the induced map $\tilde{f}: X/\sim \to Y/\square$ is continuous; moreover, if $f$ is an identification, then so is $\tilde{f}$.

Using $\ker$ as an equivalence relation in general topology

How does an element in the cohomology of a sequence of $R$ modules look like?

Suppose U = { $(x_1, x_2, ....) \in \mathbf{F^{\infty}} : x_j \neq 0 $ for only finitely many j }. Prove $\mathbf{F^\infty}/U$ is infinite dim.

Prove $U^{-1}R \cong R[\{X_s\}_{s \in U}]/(sX_s - 1).$

Quotient Space on Normed Vector Spaces, Notation and Intuition

The quotient space of the equivalence relation $x^2-y = x'^2-y'$

Concept of quotient map and quotient topology.

How does an element in $I^n(R/J)$ looks like if $R$ is a ring and $I,J$ are ideals?

$D^{n}$ with all but one edge identified with a point is homeomorphic to $D^{n}$.

Need help filling in the details left out in Munkres' example no. 4 in the section on quotient spaces.

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