Is $||f||_p$ continuous in $p$
121957
Is $p\mapsto \|f\|_p$ continuous?
40209
$f : S^1 \to\mathbb R$ is continuous then $f(x)=f(-x)$ for some $x\in S^1$
154572
Continuity of a function at an isolated point
83494
Uniform continuity of $\ln(x)$
118332
proof $f(\overline{A})\subseteq \overline{f(A)} \Leftrightarrow f$ continuous
108115
If $f: [0,1]\rightarrow \mathbb{R}$ is continuous function positive
13732
$||f||_p\to ||f||_\infty$ under general assumptions
108057
If $(f_n)\to f$ uniformly and $f_n$ is uniformly continuous for all $n$ then $f$ is uniformly continuous
52922
let $f \colon [a,b] \to \mathbb{R}$ be continuous on $[a,b]$ and..
63598
Is every separately continuous function on $R^2$ continuous?
77944
Injective functions with intermediate-value property are continuous. Better proof?
8836
If $f$ is continuous on $[a , b]$ and $\int_a^b f(x) p(x)dx = 0$ then $f = 0$
17223
Continuity of an inverse function.
151427
f, g continuous for all rationals follow by continuous on all reals?
131060
Is $\sqrt{x}$ uniformly continuous in $\mathbb{R}^+$?
115417
Continuity of $L^1$ functions with respect to translation
149095
$f(\mathbb{R}\setminus \mathbb{Q}) \subseteq \mathbb{Q}$ and $f(\mathbb{Q}) \subseteq \mathbb{R}\setminus \mathbb{Q}$ imply that $f$ is not continuous