Continuity of Sup on a continuous function
12523
Supremum of a Continuous Function is Continuous
155923
continuity of $f(x,y)$ in $\mathbb R^2$.
34836
Composition of Absolutely Continuous Functions
110112
Proving a function is Lipschitz continuous
99179
Continuous function with compact domain has continuous inverse
144614
If $f$ is continuous on $[a,b]$ and $F(x) = \sup f([a,x])$. Prove that $F$ is continuous on $[a,b]$ .
28730
product of two uniformly continuous functions is uniformly continuous
130023
Prove that the sum of two continuous functions is continuous
88240
Two functions discontinuous, but sum continuous
151573
Show f is continuous on (0, ∞) iff f is continuous at 1 for a defined function.
154572
Continuity of a function at an isolated point
99858
Cumulative distribution function and right continuity
145368
How to show $f:Y\to X^{+}$ is continuous?
53738
Monotone functions and continuity
158567
A uniform continuous function which is not Hölder continuous
12240
Problem with a continuous function
121957
Is $p\mapsto \|f\|_p$ continuous?