$(f_ng_n)$ that does not converge uniformly to $fg$
35547
Does $\{f_ng_n\}\to fg$ uniformly?
148410
How do I show $f_n(x)=n^2 x^n(1-x)$ pointwise converges to $0$ on $[0,1]$?
35535
Sequence of sets $f_n$ that converge almost everywhere to $f$ but not almost uniformly to $f$?
134637
Exchanging of limits in case of uniform convergence.
20287
Convergence Problem.
98756
Unit ball in $C[0,1]$ not sequentially compact
36485
$H_n(X,A) \not \approx \tilde{H}_n(X/A)$
155822
Does uniform convergence preserves absolute continuity?
70646
Componentwise Convergence for sequences in $\mathbb{R^{n}}$
144957
Uniform convergence of a function
69254
Which of the following series is uniformly convergent?
47937
Example of a Borel set that is neither $F_\sigma$ nor $G_\delta$
69122
If $f,g$ are uniformly continuous prove $f+g$ is uniformly continuous but $fg$ and $\dfrac{f}{g}$ are not
55337
Find a sequence of functions $\{g_n\}$ in $C([0,1])$ so that $\overline{\{g_n\}}$ is compact, but $g_n$ does not converge uniformly.
66481
Convergence of characteristic functions to $1$ on a neighborhood of $0$ and weak convergence
96074
A net $\varphi : [0, \omega_1) \to M$ on a metric space $M$ converges $\iff \varphi$ is eventually constant
117764
Almost surely convergence of the sequence