Author: Marek897 Format: TextHow prove that for two morphisms f, ψ : F → G of sheaves of sets on a topological space X if f = ψ if and only if f, ψ induces the same maps on stalks.
Deduce that a morphism of sheaves of sets on X is an epimorphism if and only if it is onto on stalks.
I don't know how I should prove it.
How prove that for two morphisms f, ψ : F → G of sheaves of sets on a topological space X if f = ψ if and only if f, ψ induces the same maps on stalks. Deduce that a morphism of sheaves of sets on X is an epimorphism if and only if it is onto on stalks.