Is every $G_\delta$ set the set of continuity points of some function $f$?
18222
Set of continuity points of a real function
31741
Show for $f:A \to Y$ uniformly continuous exists a unique extension to $\overline{A}$, which is uniformly continuous
151410
Inequality of continuous functions
63598
Is every separately continuous function on $R^2$ continuous?
44574
Continuity of absolute value of a function
152784
$f \in {\mathscr R[a,b]} \implies f $ has infinitely many points of continuity.
102075
A function continuous on all irrational points
73469
Continuity of the function $x\mapsto d(x,A)$ on a metric space
100979
Uniform continuity of a function and cauchy sequences
72847
Does $f(x)$ is continuous and $f = 0$ a.e. imply $f=0$ everywhere?
11017
Does existence of partial derivatives implies continuity at a point $(x_0,y_0)$?
102457
for any $A\subseteq X$, $f(\overline{A})\subseteq\overline{f(A)}$ , if and only if $f: X \to Y$ is continuous.
12107
How is the epsilon-delta definition of continuity equivalent to the following statement?
17223
Continuity of an inverse function.
157384
Points of continuity is a Borel set?
127739
Is a continuous function on a bounded set bounded itself?
97735
Continuous functions are differentiable on a measurable set?