Question

How can we make the "time of first return" function well-defined? Context: dynamics and recurrence of measure-preserving systems

score 45 · Answer 1 · 2026-04-08 22:07:10

45

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How can we make the "time of first return" function well-defined? Context: dynamics and recurrence of measure-preserving systems

Published on 08 Apr 2026 - 22:07

score 397 · Answer 2 · 2026-04-08 11:04:37

397

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For α and β ∈ Sn, define α ∼ β if there exists a σ ∈ $S_n$ such that $σασ^{−1}$ = β. Show that ∼ is an equivalence relation on $S_n$

Published on 08 Apr 2026 - 11:04

score 55 · Answer 3 · 2026-04-12 17:02:00

55

Views

Proving that the set of equivalence classes of $\mathbb{R}/\mathbb{Z}$ is $[0,1)$

Published on 12 Apr 2026 - 17:02

score 45 · Answer 4 · 2022-03-22 17:00:17

45

Views

Define an equivalence relation on the set A={a,b,c,d} such that the equivalence classes are {a,b,c} and {c}

Published on 22 Mar 2022 - 17:00

score 93 · Answer 5 · 2026-04-12 01:32:05

93

Views

Transitive binary Relation on sets

Published on 12 Apr 2026 - 1:32

score 45 · Answer 6 · 2026-04-12 20:06:54

45

Views

Prove that $R$ is an equivalence relation and that $C = X/R$

Published on 12 Apr 2026 - 20:06

score 135 · Answer 7 · 2026-04-10 22:24:11

135

Views

How is the equivalence relation for the cosets of a Polynomial Quotient Ring defined?

Published on 10 Apr 2026 - 22:24

score 234 · Answer 8 · 2022-04-11 01:40:57

234

Views

Prove the function defined by $\pi(x) = [x]$ is a surjective map

Published on 11 Apr 2022 - 1:40

score 107 · Answer 9 · 2026-03-29 12:32:11

107

Views

category of monoids has all coequalizers as follows.

Published on 29 Mar 2026 - 12:32

score 50 · Answer 10 · 2026-04-09 17:35:32

50

Views

How do I prove that the following relation R is an equivalence relation?

Published on 09 Apr 2026 - 17:35

score 89 · Answer 11 · 2022-04-16 23:59:28

89

Views

Reflexive relation on all integers

Published on 16 Apr 2022 - 23:59

score 21 · Answer 12 · 2022-04-17 23:12:27

21

Views

Proving Equivalance relation (transitivity)

Published on 17 Apr 2022 - 23:12

score 159 · Answer 13 · 2026-04-10 18:02:21

159

Views

Bijective function from relations of equivalency set to partitions set

Published on 10 Apr 2026 - 18:02

score 81 · Answer 14 · 2026-04-12 00:37:53

81

Views

Weaker assumptions to define an equivalence relation

Published on 12 Apr 2026 - 0:37

score 112 · Answer 15 · 2026-04-11 20:37:20

112

Views

Finding equivalence class for $R_L$ of a regular language

Published on 11 Apr 2026 - 20:37

List Question

How can we make the "time of first return" function well-defined? Context: dynamics and recurrence of measure-preserving systems

For α and β ∈ Sn, define α ∼ β if there exists a σ ∈ $S_n$ such that $σασ^{−1}$ = β. Show that ∼ is an equivalence relation on $S_n$

Proving that the set of equivalence classes of $\mathbb{R}/\mathbb{Z}$ is $[0,1)$

Define an equivalence relation on the set A={a,b,c,d} such that the equivalence classes are {a,b,c} and {c}

Transitive binary Relation on sets

Prove that $R$ is an equivalence relation and that $C = X/R$

How is the equivalence relation for the cosets of a Polynomial Quotient Ring defined?

Prove the function defined by $\pi(x) = [x]$ is a surjective map

category of monoids has all coequalizers as follows.

How do I prove that the following relation R is an equivalence relation?

Reflexive relation on all integers

Proving Equivalance relation (transitivity)

Bijective function from relations of equivalency set to partitions set

Weaker assumptions to define an equivalence relation

Finding equivalence class for $R_L$ of a regular language

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