A uniformly continuous function on a bounded set whose image is not bounded?
47188
Uniformly Continuous Function sending Bounded Set to Unbounded One
44057
Pointwise but not uniform convergence of continuous functions on $[0,1]$
83326
$f:\mathbb R\to\mathbb R$ continuous function. Which of the following sets can not be image of $(0,1]$ under $f$?
117486
Limit of uniformly continuous functions with convergent improper integrals.
158567
A uniform continuous function which is not Hölder continuous
12408
Prove that a function whose derivative is bounded is uniformly continuous.
85092
Proving $ f(x) = x^2 $ is not uniformly continuous on the real line
51247
$f$ be a continuous function maps Cauchy into Cauchy. Is $f$ uniformly continuous?
57180
Techniques to prove a function is uniformly continuous
33191
Continuous and bounded variation does not imply absolutely continuous
127739
Is a continuous function on a bounded set bounded itself?
57014
Existence of a power series converging non-uniformly to a continuous function
115878
Continuous unbounded but integrable functions
40297
Proof of uniform limit of Continuous Functions
138815
For which conditions on countable sets does continuity implies uniform continuity
128911
Continuous extension of a real function
99117
Existence of a sequence of positive continuous functions on $\mathbb R$ which is unbounded precisely on $\mathbb Q$