continuity at isolated point
118048
Can a function with just one point in its domain be continuous?
42084
Set of points of continuity are $G_{\delta}$
68165
Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
83831
Continuity based on restricted continuity of two subsets
60521
Continuity of a convex function
90152
Continuous with compact support implies uniform continuity
98666
Continuity defined for rational and irrational numbers
100740
proof of that a continuous function has a fixed point
95327
Lipschitz and uniform continuity
3856
Uniform Continuity of $x \sin x$
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
133696
Example of a function continuous at only one point.
109570
How to show that the set of points of continuity is a $G_{\delta}$
97975
Does factor-wise continuity imply continuity?
53738
Monotone functions and continuity
126842
Fixed point in a continuous function
37850
Does the everywhere differentiability of $f$ imply it is absolutely continuous on a compact interval?