Bijection between $P(\mathbb{N})$ and set $\{f | f:\mathbb{N} \to \{0,1\}\}$
59459
Binary sequences and ${2}^{\mathbb{N}}$ have the same cardinality
82003
Bijection between sets of ideals
110569
Does anyone know a closed-form expression for a bijection between $\mathbb{N}^k$ and $\mathbb{N}$?
121395
Let $X$ and $Y$ be non-empty sets and let $f:X \rightarrow Y$. Prove that $ f^{ −1} :P(Y ) → P(X) $ is injective if, and only if, $f$ is surjective.
157597
Homeomorphism between $\mathbb{Q}$ and $\mathbb{Q}(>0)$, and $\mathbb{Q}(\ge 0)$
21663
Bijection between power sets of sets implies bijection between sets?
32340
Continuous bijections and their inverses
106550
The bijection between homogeneous prime ideals of $S_f$ and prime ideals of $(S_f)_0$
118154
$f: \mathbb{R} \to \mathbb{R}$ that takes each value in $\mathbb{R}$ twice
64140
Find a bijection from $\mathbb R$ to $\mathbb R-\mathbb N$
145752
Aut $\mathbb Z_p\simeq \mathbb Z_{p-1}$
14277
Proving $f(x)=x\cdot |x|$ is a bijection
110464
Let $A=\{1,...,n\}.$ Show that there is a bijection of $P(A)$ with the cartesian product $X^n$ where $X$ is the two element set $X=\{0,1\}$
24107
Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$
127365
Question on showing a bijection between $\pi_1(X,x_0)$ and $[S^1, X]$ when X is path connected.
113892
Show $A \in \cal F$ exists, such that $\mathbb P(A)=1$ and $\mathbb Q(A)=0$.
51695
Finding all homomorphisms between $\mathbb{Z}/m\mathbb{Z}$ and $\mathbb{Z}/n\mathbb{Z}$