$f: B^2 \rightarrow B^2$ be a continuous map such that $f(x) = x$ for every $x \in S^1$, show $f$ is surjective
121886
Proving image of $f:D^n\rightarrow \mathbb{R}^n \;$ contains $\;D^n$
134104
Is there a Cantor-Schroder-Bernstein statement about surjective maps?
37308
Let $f:K\to K$ with $\|f(x)-f(y)\|\geq ||x-y||$ for all $x,y$. Show that equality holds and that $f$ is surjective.
104757
If $f \circ g$ is surjective, then f is surjective
48990
Linear map $f:V\rightarrow V$ injective $\Longleftrightarrow$ surjective
24914
Does every continuous map from $\mathbb{Q}$ to $\mathbb{Q}$ extends continuously as a map from $\mathbb{R}$ to $\mathbb{R}$?
56567
Prove or disprove the uniform continuity of $f: \mathbb{C} \to \mathbb{C}, z \mapsto f(z)=\frac{z^2}{1+|z|}$
63146
Proof of properties of injective and surjective functions.
29582
Continuous mapping $f: [0,1]\rightarrow (0,1)$ CSIR December $2013$
28798
Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
65472
From injective map to continuous map
33129
A linear map $S:Y^*\to X^*$ is weak$^*$ continuous if and only if $S=T^*$ for som $T\in B(X,Y)$
21178
Show that $f$ extends to a smooth map.
6023
Surjectivity of Composition of Surjective Functions
141223
$f(x^2) = 2f(x)$ and $f(x)$ continuous
41617
If a $C^1$ map $f:\mathbb{R}^{n}\rightarrow\mathbb{R}^{n}$ is expanding ($\|f(x)-f(y)\|\geq\|x-y\|$), which of these must be true?
16735
If $f,g:X \to Y$ are continuous and $Y$ is $T_2$, then $\{x \in X\,|\,f(x)=g(x)\}$ is closed