Question

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

score 85 · Answer 1 · 2026-04-06 08:47:57

85

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 06 Apr 2026 - 8:47

score 60 · Answer 2 · 2026-04-10 12:52:17

60

Views

Proof verification of Set theory problem

Published on 10 Apr 2026 - 12:52

score 161 · Answer 3 · 2022-06-07 02:56:05

161

Views

Describing quotient set under the equivalence relation $x \sim y$ iff $\sin(x) = \sin(y)$.

Published on 07 Jun 2022 - 2:56

score 66 · Answer 4 · 2026-03-26 14:20:27

66

Views

What does the author mean here by the congruence relation generated by -?

Published on 26 Mar 2026 - 14:20

score 409 · Answer 5 · 2026-04-06 08:47:14

409

Views

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

Published on 06 Apr 2026 - 8:47

score 55 · Answer 6 · 2022-06-15 22:04:04

55

Views

Intersection of equivalence relations containing a binary relation on a set.

Published on 15 Jun 2022 - 22:04

score 70 · Answer 7 · 2022-06-17 23:32:53

70

Views

Equivalents of "union" and "intersection" for setoids?

Published on 17 Jun 2022 - 23:32

score 159 · Answer 8 · 2026-04-11 14:48:15

159

Views

Is there a mapping function to transform $m^n \to \sum_{i \in K}{2^i}$ (any power to sums of powers of 2).

Published on 11 Apr 2026 - 14:48

score 59 · Answer 9 · 2026-04-11 19:21:39

59

Views

Facing problem to give valid justification about simple and intuitive exercise given in the proof.

Published on 11 Apr 2026 - 19:21

score 43 · Answer 10 · 2026-04-12 17:02:56

43

Views

Is there a name for a equivalence that one proposition is a special case of the other?

Published on 12 Apr 2026 - 17:02

score 122 · Answer 11 · 2026-04-11 16:23:26

122

Views

Problem 4.3.1 from Dummit and Foote.

Published on 11 Apr 2026 - 16:23

score 323 · Answer 12 · 2026-04-12 17:02:10

323

Views

Proving that union of two equivalence relations may not be equivalence but intersection is always

Published on 12 Apr 2026 - 17:02

score 44 · Answer 13 · 2026-04-12 11:05:24

44

Views

From an explicit function to an implicit one

Published on 12 Apr 2026 - 11:05

score 70 · Answer 14 · 2026-04-09 06:11:09

70

Views

Expressing the Uncountable Hat Paradox mathematically

Published on 09 Apr 2026 - 6:11

score 87 · Answer 15 · 2026-04-12 03:11:23

87

Views

Equality with metric in metric spaces

Published on 12 Apr 2026 - 3:11

List Question

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

Proof verification of Set theory problem

Describing quotient set under the equivalence relation $x \sim y$ iff $\sin(x) = \sin(y)$.

What does the author mean here by the congruence relation generated by -?

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

Intersection of equivalence relations containing a binary relation on a set.

Equivalents of "union" and "intersection" for setoids?

Is there a mapping function to transform $m^n \to \sum_{i \in K}{2^i}$ (any power to sums of powers of 2).

Facing problem to give valid justification about simple and intuitive exercise given in the proof.

Is there a name for a equivalence that one proposition is a special case of the other?

Problem 4.3.1 from Dummit and Foote.

Proving that union of two equivalence relations may not be equivalence but intersection is always

From an explicit function to an implicit one

Expressing the Uncountable Hat Paradox mathematically

Equality with metric in metric spaces

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