What tools may one use to disprove uniform convergence?

Question

Ok, this is perhaps a very general question but here goes:

Question: What tools (theorems) may one use to prove or disprove uniform convergence? I am aware of only $2$.

1. The thoerem that if the limit function is not continuous , then the convergence is not uniform.
2. The thoerem with $\lim \sup |f_n(x)-f(x)|=0$.

What other thoerms are out there for someone to use in order to prove that a sequence of functions converge or does not converge uniformly to a function $f$.