List questions from uniform-continuity | MathQa

Continuous functions on closed intervals that aren't uniformly continuous on that interval

Published on 06 Jan 2025 - 8:47

Notion of uniform continuity in non-metrizable spaces.

Published on 28 Dec 2024 - 12:54

Image of a precompact under the action of uniformly continuous function is a precompact

Published on 03 Jan 2025 - 6:22

Is $x^3\sin\left(\frac{1}{x}\right)$ is uniformly continuous in (0,$\infty$)?

Published on 08 Jan 2025 - 11:34

Prove that a periodic continuous function is uniformly continuous. (W/O Heine-Borel etc.)

Published on 09 Jan 2025 - 3:00

$\sin \frac{1}{x}$ is not uniformly continuous on $[1, \infty]$

Published on 04 Jan 2025 - 18:39

An example of an unbounded uniformly continuous function on the open ball of $\ell_2$

Published on 06 Jan 2025 - 16:23

Uniform Continuity of $\sqrt{x}$

Published on 12 Jan 2025 - 18:21

Prove that $f(x) = \frac {1}{2x-1}$ is not uniformly continuous on $[0,\frac {1}{2})$

Published on 06 Jan 2025 - 9:32

closure of graph along an interval

Published on 03 Jan 2025 - 1:08