Almost everywhere convergence does not imply uniform convergence.
35535
Sequence of sets $f_n$ that converge almost everywhere to $f$ but not almost uniformly to $f$?
154229
Convergence to a Uniform Distribution
124382
Showing that $f_n:[0,1]\to\mathbb{R}$ when $f_n=nx(1-x)^n$ converges pointwise but not uniformly
44647
Does pointwise convergence of continuous functions on a compact set to a continuous limit imply uniform convergence on that set?
144957
Uniform convergence of a function
58816
Existence of a continuous function which does not achieve a maximum.
37389
Why is this sequence of functions not uniformly convergent?
105656
$\sum_{n=1}^\infty u_n $ converges uniformly on $[a,b]$, but $\sum_{n=1}^\infty |u_n| $ doesn't
7078
If $\sum_n \sqrt{a_n a_{n+1}}$ converges, then $\sum_n a_n$ might not converge.
146756
Convergence at infinitely many points in a compact set and convergence in the whole region
135450
Prove $x^n$ is not uniformly convergent
117419
Why is $e^{x}$ not uniformly continuous on $\mathbb{R}$?
68081
x/n uniformly convergent?
94244
$\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$
111915
Almost Sure Convergence and Bounded Expectation
33191
Continuous and bounded variation does not imply absolutely continuous
79451
Uniform convergence on two separate intervals