Prove a mapping $C(X,Y)\to \operatorname{Hom}(C(Y), C(X))$ is surjective
66180
Homomorphism between compact Hausdorff spaces.
90475
Coordinate-free proof of $\operatorname{Tr}(AB)=\operatorname{Tr}(BA)$?
32340
Continuous bijections and their inverses
135694
Proving $\kappa^{\lambda} = |\{X: X \subseteq \kappa, |X|=\lambda\}|$
12104
How to prove this result involving the quotient maps and connectedness?
45710
Finishing a proof: $f$ is injective if and only if it has a left inverse
55488
Proving that $\operatorname{codim}(X,Y)=\dim(\mathcal{O}_{X,\eta})$
113109
Showing that a map is bijective and finding its inverse
21707
Constructing a Bijective function via an injective and surjective one.
100134
Proving existence of a surjection $2^{\aleph_0} \to \aleph_1$ without AC
28798
Proving injection and surjection with functions $F:C^B\to C^A$, $F(f)=f\circ\varphi$, $\varphi: A\to B$
19245
Schwartz Distribution Theory: (Non-)Surjectivity of $f \mapsto f*f$ in $ \mathcal E '$
148500
Understanding this theorem and how to go about proving it surjectivity?
117502
Proving that a certain continuous function is surjective.
21391
Proving Functions are Surjective
65472
From injective map to continuous map
129162
Show there is a surjective homomorphism from $\mathbb{Z}\ast\mathbb{Z}$ onto $C_2\ast C_3$