What is an example of a continuous but not closed function?
43189
Examples of continuous functions $f : \mathbb{R} \to \mathbb{R}$
33488
A uniformly continuous function such that the derivative is not bounded and is not defined on a compact?
23965
Function which preserves closed-boundedness and path-connectedness continuous?
50111
non-continuous function satisfies $f(x+y)=f(x)+f(y)$
120947
continuous real-valued function
19984
Example of topological spaces with continuous bijections that are not homotopy equivalent
41201
How prove there is no continuous functions $f:[0,1]\to \mathbb R$, such that $f(x)+f(x^2)=x$.
2142
Finding a set of continuous functions with a certain property 2
81927
Example of closed and bounded in $\mathbb Q$ set that is not compact
73585
Why is the function continuous, if it is defined only on integers?
76396
Nowhere monotonic continuous function
123132
Counterexample for a non-measurable function?
59279
Example of function that is differentiable, but the second derivative is not defined
22750
What are examples of functions that are $L^1$ but not $L^2$ and vice versa?
58816
Existence of a continuous function which does not achieve a maximum.
148931
Constructing a function that is continuous and has a max on an open interval, but is not necessarily increasing immediately to the left of the max.
113503
Show that exists a not decreasing function that $f:(a,b)\rightarrow \mathbb{R}$ that is continuous only in $(a,b)\setminus D$.