Does local Lipschitz continuity on a compact metric space imply global Lipschitz continuity?
69650
In $\mathbb{R}^n$, locally lipschitz on compact set implies lipschitz
12997
Is a Cauchy sequence - preserving (continuous) function is (uniformly) continuous?
140124
The distance function on a metric space
97382
Continuous differentiability implies Lipschitz continuity
84264
the space of lipschitz function is complete with respect to some norm
155822
Does uniform convergence preserves absolute continuity?
54600
Is a convex and lower semicontinuous function defined on a closed and convex subset of $\mathbb{R}^n$ continuous?
83163
If $X$ is a connected metric space, then a locally constant function $f: X \to $ M, $M $ a metric space, is constant
104257
$C^1$ functions on an open connected set and local Lipschitz continuity
75882
Countability of local maxima on continuous real-valued functions
23845
How to prove the continuity of the metric function?
71001
Do continuous linear functions between Banach spaces extend?
154978
Some equivalent formulations of compactness of a metric space
15924
Convexity and strong lower semicontinuity imply weak lower semicontinuity
98609
Does pointwise equicontinuous and uniformly equicontinuous implies compactness?
106256
Continuous mapping on a compact metric space is uniformly continuous
90152
Continuous with compact support implies uniform continuity