A continuous function cannot take every value an exact even number of times?
76009
Can a continuous function from the reals to the reals assume each value an even number of times?
72115
Why isn't there a continuously differentiable surjection from $I \to I \times I$?
141366
Absolutely continuity and Lipschitz-like continuity
39406
Continuity $\Rightarrow$ Intermediate Value Property. Why is the opposite not true?
100001
Show that a continuous function doesn't exist such that for every real $c$, there exist exactly two reals $a, b$ s.t. $f(a)=f(b)=c$.
15487
Continuous function from a connected set?
68165
Find a function $f: \mathbb{R} \to \mathbb{R}$ that is continuous at precisely one point?
109732
Nowhere continuous function limit
71487
Real Analysis: Continuity of a Composition Function
128911
Continuous extension of a real function
111990
Continuous function from $(0, 1]$ onto $(0, 1)$?
158567
A uniform continuous function which is not Hölder continuous
145017
Example of a function $f$ which is nowhere continuous but $|f|$ should be continuous at all points
33191
Continuous and bounded variation does not imply absolutely continuous
11395
Why is the Cantor function not absolutely continuous?
90745
Why aren’t continuous functions defined the other way around?
33114
Uniqueness of a continuous extension of a function into a Hausdorff space