Prove this function is injective
35556
$f(z)=\frac{z}{1+|z|} $ Is 1-1?
74502
Proving the bijection of a continuous function $f$ such that $|f(x)-f(y)| \geq \log(1+|x-y|) \forall x,y$ in $\mathbb{R}.$
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
133083
Injectivity and surjectivity of a recursive function
87239
Prove functions defined by sup and inf are continuous
29154
$f$ is continuous and open implies $f$ injective
111239
Are monomorphisms of rings injective?
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
46863
Show that $g$ is injective
98118
Prove that a holomorphic function injective in an annulus is injective in the whole ball
117502
Proving that a certain continuous function is surjective.
28798
Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
85032
$Q(\mathbb{Z}[t]) / \mathbb{Z}[t]$ is not injective
155266
Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
11813
Injective functions also surjective?
147021
Proving a function is bounded
45380
Surjectivity implies injectivity and conversely