Functors – Exercise 1
Show that functors preserve isomorphism. If $$a\sim a’$$ in $$\mathcal{C}$$, then $$F(a)\sim F(a’)$$ in $$\mathcal{H}$$, with $$F:\mathcal{C}\longrightarrow\mathcal{H}$$. Solution: Let $$f:a\longrightarrow a’$$ be a isomorphism with...