Question

Let S = {1, 2, 3, 4}. How many equivalence relation are there and describe them?

score 178 · Answer 1 · 2019-10-25 14:42:23

178

Views

Let S = {1, 2, 3, 4}. How many equivalence relation are there and describe them?

Published on 25 Oct 2019 - 14:42

score 27 · Answer 2 · 2019-10-25 22:07:04

27

Views

Equivalence relation proof on R¹²

Published on 25 Oct 2019 - 22:07

score 63 · Answer 3 · 2019-10-26 15:26:34

63

Views

Try to give a description of $Q/ \sim$.

Published on 26 Oct 2019 - 15:26

score 153 · Answer 4 · 2019-10-27 06:53:06

153

Views

Suppose $B \subseteq A$ and $ R = \{(X,Y) \in \mathscr P(A) \times \mathscr P(A) \mid X\Delta Y\subseteq B\}$ Prove $R$ is an equivalence relation.

Published on 27 Oct 2019 - 6:53

score 64 · Answer 5 · 2026-03-30 08:24:55

64

Views

Prove that for every $X \in \mathscr P(A)$ there is exactly one $Y \in [X]_R$ such that $Y \cap B = \emptyset$

Published on 30 Mar 2026 - 8:24

score 322 · Answer 6 · 2019-10-29 21:06:50

322

Views

Proving that the equivalence classes are the left and the right cosets and are well-defined and bijective

Published on 29 Oct 2019 - 21:06

score 35 · Answer 7 · 2026-03-30 10:07:30

35

Views

Relations Definition and Example

Published on 30 Mar 2026 - 10:07

score 131 · Answer 8 · 2026-03-26 19:03:13

131

Views

Zorn's Lemma implies every set of partitions has a finest (most refined) element? Correct?

Published on 26 Mar 2026 - 19:03

score 73 · Answer 9 · 2026-03-30 10:16:32

73

Views

How many equivalence classes does $\sim$ gives rise to?

Published on 30 Mar 2026 - 10:16

score 50 · Answer 10 · 2026-03-30 10:16:11

50

Views

Prove the relation $\sim$ on $M\times T$ is an equivalence relation.

Published on 30 Mar 2026 - 10:16

score 131 · Answer 11 · 2026-03-25 06:04:04

131

Views

Prove/Disprove that the following relation is a congruence relation

Published on 25 Mar 2026 - 6:04

score 2.5k · Answer 12 · 2019-11-03 19:46:31

2.5k

Views

Which of the following relations on $\{1,2,3\}$ is an equivalence relation?

Published on 03 Nov 2019 - 19:46

score 58 · Answer 13 · 2026-03-25 23:08:27

58

Views

The Direction of Borel Reducibility

Published on 25 Mar 2026 - 23:08

score 78 · Answer 14 · 2019-11-05 15:53:43

78

Views

Let $R=\{(1,1),(2,2),(3,3),(4,4),(2,3),(3,2),(2,4),(4,2),(3,4),(4,3)\}$ be an equivalence relation on $A=\{1,2,3,4\}$

Published on 05 Nov 2019 - 15:53

score 2.3k · Answer 15 · 2026-03-26 20:41:56

2.3k

Views

Prove R is an equivalence relation on A. Then Prove a partition is the set of equivalence classes of R

Published on 26 Mar 2026 - 20:41

List Question

Let S = {1, 2, 3, 4}. How many equivalence relation are there and describe them?

Equivalence relation proof on R¹²

Try to give a description of $Q/ \sim$.

Suppose $B \subseteq A$ and $ R = \{(X,Y) \in \mathscr P(A) \times \mathscr P(A) \mid X\Delta Y\subseteq B\}$ Prove $R$ is an equivalence relation.

Prove that for every $X \in \mathscr P(A)$ there is exactly one $Y \in [X]_R$ such that $Y \cap B = \emptyset$

Proving that the equivalence classes are the left and the right cosets and are well-defined and bijective

Relations Definition and Example

Zorn's Lemma implies every set of partitions has a finest (most refined) element? Correct?

How many equivalence classes does $\sim$ gives rise to?

Prove the relation $\sim$ on $M\times T$ is an equivalence relation.

Prove/Disprove that the following relation is a congruence relation

Which of the following relations on $\{1,2,3\}$ is an equivalence relation?

The Direction of Borel Reducibility

Let $R=\{(1,1),(2,2),(3,3),(4,4),(2,3),(3,2),(2,4),(4,2),(3,4),(4,3)\}$ be an equivalence relation on $A=\{1,2,3,4\}$

Prove R is an equivalence relation on A. Then Prove a partition is the set of equivalence classes of R

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