The cardinality of all equivalence relations over $\mathbb{N}$
98518
Cardinality of equivalence relations on N
53642
Cardinality of Borel sigma algebra
149673
Cardinality of an infinite union of finite sets
79568
Cardinality of the set $D$
52429
Explicit countable elementary extension of $\mathbb{N}$
109710
Bijection between $\mathbb N \times \mathbb N$ and $\mathbb N$
64193
Cardinality of Infinite Symmetric group
7938
Number of Homomorphisms from $\Bbb{Z}_m$ to $\Bbb{Z}_n$
62455
Prove Equivalence Relation in G
40937
Is the set of partial order relations over $ \mathbb{N}$ countable?
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
40071
What is the cardinality of the set of all topologies on $\mathbb{R}$?
29232
Find total number of relations that are equivalence as well as partial order set
17363
Prove that the intersection of two equivalence relations is an equivalence relation.
144787
Show that the set of all infinite subsets of $\mathbb{N}$ has cardinality greater than $\mathbb{N}$
16687
Number of Equivalence relations of $\{1,2,3\}$
80209
If $X,Y$ are equivalence relations, so is $X \times Y$