Do discontinuities only exist strictly inside the domain of a function?
50427
Is function $f:\mathbb C-\{0\}\rightarrow\mathbb C$ prescribed by $z\rightarrow \large \frac{1}{z}$ by definition discontinuous at $0$?
118400
Is there a monotonic function discontinuous over some dense set?
17642
Why are removable discontinuities even discontinuities at all?
112189
Discontinuity in function; order of integration matters
90153
Why does the definition of limits of a function have strict inequality?
112404
Eliminating discontinuities for increasing function
69066
$\epsilon{\rm -}\delta$ proof of the discontinuity of Dirichlet's function
145017
Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
5625
Entire function with vanishing derivatives?
150346
If $f$ is an increasing function defined on $[a,b]$ . Then, $f$ has countable number of discontinuities
141423
The continuity of $f(x,y) = \frac {\sin (xy)} {\sqrt {x^2 + y^2}}$ at $(0,0)$
47637
Are strict local minima of a general function always countable?
49587
Does a differentiable everywhere function have a continuous derivative?
128719
Are constants the only continuous functions with "symmetric derivative" zero?
154572
Continuity of a function at an isolated point
132730
Is there an everywhere discontinuous increasing function?
22392
How can a function with a hole (removable discontinuity) equal a function with no hole?