It is possible to obtain a injective continuous map $f:\mathbb{R}^m \rightarrow \mathbb{R}^n$ when $m > n$?
87027
There is no continuous injective function $f:\mathbb{R}^n\longrightarrow\mathbb{R}^m$
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
103932
How can I prove that a polynomial with degree $n$ is continuous everywhere in $\mathbb{R}$ using definitions?
34699
A continuous bijection from a compact space to a $T_2$ space is always a homeomorphism
109498
Linear maps $f: M_n \longrightarrow \mathbb{R}$ such that $f(AB) = f(BA)$
155266
Is $\exp:\overline{\mathbb{M}}_n\to\mathbb{M}_n$ injective?
70576
Elementary proof that $\mathbb{R}^n$ is not homeomorphic to $\mathbb{R}^m$
157378
On an injective ring homomorphism from the ring of continuous functions to the ring of differentiable functions
139612
Follow-up regarding right-continuous $f:\mathbb{R} \to\mathbb{R}$ is Borel measurable
33129
A linear map $S:Y^*\to X^*$ is weak$^*$ continuous if and only if $S=T^*$ for som $T\in B(X,Y)$
121708
$S := \{x \in \Bbb R^3: ||x||_2 = 1 \}$ and $T: S^2 \to \Bbb R$ is a continuous function. Is $T$ injective?
101319
Properties of a continuous map $f : \mathbb{R}^2\rightarrow \mathbb{R}$ with only finitely many zeroes
24914
Does every continuous map from $\mathbb{Q}$ to $\mathbb{Q}$ extends continuously as a map from $\mathbb{R}$ to $\mathbb{R}$?
108115
If $f: [0,1]\rightarrow \mathbb{R}$ is continuous function positive
55605
If $f_n(x_n) \to f(x)$ whenever $x_n \to x$, show that $f$ is continuous
32359
Inner product of two continuous maps is continuous
33140
Two non-homeomorphic spaces with continuous bijective functions in both directions