Question

Is the topological closure of a transitive relation itself transitive?

score 182 · Answer 1 · 2026-05-10 16:05:53

182

Views

Is the topological closure of a transitive relation itself transitive?

Published on 10 May 2026 - 16:05

score 39 · Answer 2 · 2026-04-13 07:20:37

39

Views

Is $y=-x$ an equivalence relation in $\mathbb{R} \times \mathbb{R}$?

Published on 13 Apr 2026 - 7:20

score 5.1k · Answer 3 · 2026-03-25 14:23:58

5.1k

Views

What does it mean when I say that addition/multiplication for an equivalence relation is well defined?

Published on 25 Mar 2026 - 14:23

score 25 · Answer 4 · 2026-04-13 08:27:30

25

Views

given a function $f$, as $f: C \rightarrow P(A)$ as $f\left(R\right)= \left[a\right]_{R}$ does $f$ have an inverse?

Published on 13 Apr 2026 - 8:27

score 43 · Answer 5 · 2026-04-12 21:33:32

43

Views

Is this relation R transitive?

Published on 12 Apr 2026 - 21:33

score 69 · Answer 6 · 2026-04-12 07:58:26

69

Views

Antisymmetry relations

Published on 12 Apr 2026 - 7:58

score 228 · Answer 7 · 2026-04-12 14:53:36

228

Views

How many injective functions from $\{5,6,7,8,9\}$ to itself map $5$ and $6$ to another number?

Published on 12 Apr 2026 - 14:53

score 45 · Answer 8 · 2026-04-14 17:45:06

45

Views

How many functions map a number $x$ to $y$ such that $(x\mod y) = 0$?

Published on 14 Apr 2026 - 17:45

score 38 · Answer 9 · 2026-04-25 18:54:33

38

Views

Such thing as inverse/undo "search" or "filter" operator

Published on 25 Apr 2026 - 18:54

score 38 · Answer 10 · 2026-05-10 18:45:48

Find extremals of $B$ with respect to $R= \{(x,y) \in \mathbb{R} \times \mathbb{R} \mid x \leq y\}$, $B=\{x \in \mathbb{R} | 1 \leq x < 2\}$

score 114 · Answer 11 · 2026-05-10 22:07:54

114

Views

Prove $ R \cap (B \times B) $ is partial order on B

Published on 10 May 2026 - 22:07

score 62 · Answer 12 · 2026-05-10 19:47:18

62

Views

If both $R$ and $S$ are total order, will $T$ be total order?

Published on 10 May 2026 - 19:47

score 136 · Answer 13 · 2026-04-14 21:27:01

136

Views

If $b$ is the largest element of $B$ then it is also maximal element of $B$

Published on 14 Apr 2026 - 21:27

score 134 · Answer 14 · 2026-04-16 14:23:42

134

Views

Prove b is the g.l.b of B

Published on 16 Apr 2026 - 14:23

score 2.1k · Answer 15 · 2026-03-25 12:49:58

2.1k

Views

Prove that union of two equivalences relations is also equivalence relation if and only if that union equals to thier compositions

Published on 25 Mar 2026 - 12:49

List Question

Is the topological closure of a transitive relation itself transitive?

Is $y=-x$ an equivalence relation in $\mathbb{R} \times \mathbb{R}$?

What does it mean when I say that addition/multiplication for an equivalence relation is well defined?

given a function $f$, as $f: C \rightarrow P(A)$ as $f\left(R\right)= \left[a\right]_{R}$ does $f$ have an inverse?

Is this relation R transitive?

Antisymmetry relations

How many injective functions from $\{5,6,7,8,9\}$ to itself map $5$ and $6$ to another number?

How many functions map a number $x$ to $y$ such that $(x\mod y) = 0$?

Such thing as inverse/undo "search" or "filter" operator

Find extremals of $B$ with respect to $R= \{(x,y) \in \mathbb{R} \times \mathbb{R} \mid x \leq y\}$, $B=\{x \in \mathbb{R} | 1 \leq x < 2\}$

Prove $ R \cap (B \times B) $ is partial order on B

If both $R$ and $S$ are total order, will $T$ be total order?

If $b$ is the largest element of $B$ then it is also maximal element of $B$

Prove b is the g.l.b of B

Prove that union of two equivalences relations is also equivalence relation if and only if that union equals to thier compositions

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