Is there a set $A$ such that power set of $A $ has a bijection with $\mathbb{N}$?
42095
Existence in ZF of a set with countable power set
12825
Bijection between $2^{\mathbb R}$ and $\mathbb{ R ^ R}$
109054
Given an infinite set of cardinality $X$, is there a chain in $\mathcal P(X)$ of the same cardinalty of $\mathcal P(X)$?
145214
Showing the power set is equinumerous to ${}^X2$
62208
If $A$ is a non-empty set, then $A \notin A$
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 $\{0,1\}$.
145428
Set $A$ is countably infinite if and only if there exists a bijection $f: \mathbb{N} \rightarrow A$
89234
Any Set with Associativity, Left Identity, Left Inverse is a Group
144246
Subset of $\mathbb{R}^n$ homeomorphic to $\mathbb{R}^n$
146436
Cardinality of the set of bijective functions on $\mathbb{N}$?
144787
Show that the set of all infinite subsets of $\mathbb{N}$ has cardinality greater than $\mathbb{N}$
71967
cardinality of the set of $ \varphi: \mathbb N \to \mathbb N$ such that $\varphi$ is an increasing sequence
69838
Does a countably infinite power set exist?
82003
Bijection between sets of ideals
145077
A continuous bijection $f:\mathbb{R}\to \mathbb{R}$ is an homeomorphism?
128966
Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
156006
Cardinality of set containing all infinite subsets of $\mathbb{Q}$