Bijection of power sets and cardinality
28223
Prove/Disprove that if two sets have the same power set then they are the same set
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
149673
Cardinality of an infinite union of finite sets
41359
Constructing a bijection
79974
The cardinality of Lebesgue sets
132868
Bijection between an infinite set and its union of a countably infinite set
124333
A bijection between $\mathbb{N}$ and $\mathbb{P}(\mathbb{N})$?
9651
Cardinality of cartesian product of an infinite set with N
132537
Class of sets of a given infinite cardinality
82003
Bijection between sets of ideals
98518
Cardinality of equivalence relations on N
31391
bijection between $\mathbb{N}$ and $\mathbb{N}\times\mathbb{N}$
112084
Proof of a formula for the power set of a union of two sets
31318
Cardinality of cartesian square
19924
Uncountable ordinals without power set axiom
23125
Prove that there is a bijection between the set of all subsets of $X$, $P(X)$, and the set of functions from $X$ to $\{0,1\}$.
7785
Cardinality of sum-set