Prove that $\exists$ $f:(a,b)\to [a,b]$ such that $f$ is Bijective.
38257
Continuous bijection from $(0,1)$ to $[0,1]$
44717
Does there exist a bijective $f:\mathbb{N} \to \mathbb{N}$ such that $\sum f(n)/n^2$ converges?
76790
Condition to guarantee $f=0$ on $[a,b]$
24107
Bijection $f:\mathcal{P}(A)\to(A\to \{0,1\})$
111129
Show that $[K:F]_s = [K:L]_s [L:F]_s$ and $[K:F]_i = [K:L]_i [L:F]_i$.
146188
Why does a proof of $\exists f: X\to Y$ injection $\iff \exists g: Y \to X$ surjection requires the axiom of choice?
41359
Constructing a bijection
89514
Show that if $g \circ f$ is injective, then so is $f$.
53551
$f(A\cap B)=f(A)\cap f(B)$ $\iff$ $f$ is injective.
21707
Constructing a Bijective function via an injective and surjective one.
130363
Prove composition of two surjections is surjection
32127
Example where $f\circ g$ is bijective, but neither $f$ nor $g$ is bijective
13270
Prove $\exists \xi \in (a,b):f'(\xi)<1+f^2(\xi)$
101042
Suppose we have functions $f:A→B$ and $g:B→C$. Prove that if $f$ and $g$ are invertible, then so is $g \circ f$.
121729
Prove without using graphing calculators that $f: \mathbb R\to \mathbb R,\,f(x)=x+\sin x$ is both one-to-one, onto (bijective) function.
95086
Homeomorphism is bijective
93964
Proving that $f$ is a bijection from $N$x$N$ to $N$.