Bounded and Continuous but not Holder
158567
A uniform continuous function which is not Hölder continuous
23965
Function which preserves closed-boundedness and path-connectedness continuous?
23436
$f$ Holder continuous with Holder exponent $p>1\implies f \text{ is constant}$
22597
Composition of measurable function and continuous function
87216
Lebesgue non-measurable function
158940
Give an example of a continuous function $f : [0, ∞) \mapsto [0, ∞)$ such that $\int_{0}^{\infty}f(x)dx$ exists but $f$ is unbounded.
153495
Continuous function does not map closed set to closed set
115878
Continuous unbounded but integrable functions
34298
sequentially continuous on a non first-countable
146707
Formally show that the set of continuous functions is not measurable
149407
Weak-to-weak continuous operator which is not norm-continuous
113450
Construction of a function which is not the pointwise limit of a sequence of continuous functions
50111
non-continuous function satisfies $f(x+y)=f(x)+f(y)$
127739
Is a continuous function on a bounded set bounded itself?
113122
Prove that a continuous real function with finite limits is bounded
15487
Continuous function from a connected set?
124959
Does weak compactness imply boundedness in a normed vector space (not necessarily complete)?