Are there uncountably many injective functions from $\mathbb N$ to $\mathbb N$?
128966
Explicit bijection between $\Bbb R$ and permutations of $\Bbb N$
32340
Continuous bijections and their inverses
74453
Injective and Surjective Functions
15909
Bijection from $\mathbb R$ to $\mathbb {R^N}$
93964
Proving that $f$ is a bijection from $N$x$N$ to $N$.
117793
Finding a function $\mathbb{N} \to \mathbb{N}$ that is surjective but not injective.
82655
Number of Injective Maps
40566
Counting surjective functions
21431
The set of all functions from $\mathbb{N} \to \{0, 1\}$ is uncountable?
84114
Does there exist a surjective homomorphism from $(\mathbb R,+)$ to $(\mathbb Q,+)$ ?
141114
Question about a bijection between $\mathbb R$ and $\mathbb R \cup \{\infty\}$
138258
What is the injective envelope of $\mathbb{Z}/n\mathbb{Z}$?
3775
How many maps $\phi:\Bbb{N}\to\Bbb{N}$ are there with $\phi(ab) = \phi(a)+\phi(b)$?
139078
Infinite partition of $\mathbb N$ by infinite subsets
118192
Is there a bijective function $f: \mathbb{R}\to\mathbb{R}$ that is discontinuous?
18343
Counting homomorphisms between $\Bbb Z$ and $\Bbb Z_n$ and also between $\Bbb Z_n$ and $\Bbb Q$
87027
There is no continuous injective function $f:\mathbb{R}^n\longrightarrow\mathbb{R}^m$