When is a map $ f : A^{n+1} \to A^n $ injective?
28136
$A^m\hookrightarrow A^n$ implies $m\leq n$ for a ring $A\neq 0$
34670
What exactly is the fixed field of the map $t\mapsto t+1$ in $k(t)$?
18141
Embedding $S_n$ into $A_{n+2}$
130872
Map $f: S^n \to S^n$ that extends over $D^{n+1}$ must identify a pair of antipodal points
72642
Continuous bijection from $(a,b) \to S^1$?
55018
Prove that $A^*A + I$ is invertible
153406
$[F(t):F(t^n)]=n$ where $t$ is trascendental
77944
Injective functions with intermediate-value property are continuous. Better proof?
50649
On the existence of a continuous bijection $f\colon [0,1]\to [0,1]\times [0,1]$
106584
If $A^{2n}=I$, then $A^n=\pm I$ where $A\in M_n(\mathbb{R})$
61993
Why is $V^{\vee}\otimes W^{\vee}\longrightarrow (V\otimes W)^{\vee}$ always injective?
100736
Why every map $f : S^n \to T^n (n>1)$ has topological degree zero?
70912
If $g\circ f$ is injective and $f$ is surjective then $g$ is injective
112807
Show that no application $f: \mathbb{R}^2 \rightarrow \mathbb{R}$, of $C^k$ class, $k \geq 1$ can be injective
94165
Why is a map to a smaller dimensional space not injective?
10627
When is $X^n-a$ is irreducible over F?
101893
Is there a classification of regular maps $\mathbb{P}^1(k)\to\mathbb{A}^1(k)$?