Show for $f$ defined on $\mathbb Q \cap [0,1]$ uniformly continuous, exists extension $g$ defined on $[0,1]$ that is continuous
31741
Show for $f:A \to Y$ uniformly continuous exists a unique extension to $\overline{A}$, which is uniformly continuous
29154
$f$ is continuous and open implies $f$ injective
55749
Compactly supported continuous function is uniformly continuous
126461
Show that $g:I\to\mathbb{R}$ is continuous and $f:(x-x_0)g(x)$ is differentiable
72694
Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a)  g(b)$
3856
Uniform Continuity of $x \sin x$
121957
Is $p\mapsto \|f\|_p$ continuous?
57180
Techniques to prove a function is uniformly continuous
62118
Prove $\epsilon$-$\delta$ definition of continuity implies the open set definition for real function
15095
continuous onto map from $(0,1)\to (0,1]$
124779
Intuition for uniform continuity of a function on $\mathbb{R}$
28730
product of two uniformly continuous functions is uniformly continuous
33114
Uniqueness of a continuous extension of a function into a Hausdorff space
59519
What about the continuity of these functions in the uniform topology?
138815
For which conditions on countable sets does continuity implies uniform continuity
9406
Compactness of $(M, d)$ in terms of continuous functions $f:M\to \mathbb R$
97104
Proof that continuous function on $ [0, 2]$ has $f(x) = f(x-1)$ for some $ x$