Every convex function is continuous
71619
Proving that a convex function is Lipschitz
40438
Proving that closed (and open) balls are convex
20091
Every continuous function is the difference of two nonnegative continuous functions
18763
injective holomorphic function on a convex set
130299
Prove that if a function $f: X\to Y$ continuous then its graph is closed
102075
A function continuous on all irrational points
97382
Continuous differentiability implies Lipschitz continuity
53812
Metric is continuous function
128069
Continuity in Slices + Mapping Compact Sets to Compact Sets = Continuous
57180
Techniques to prove a function is uniformly continuous
86643
Convex function almost surely differentiable.
151410
Inequality of continuous functions
35857
Characterization of log-convexity
73074
$f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$
46834
show that a distance function is continuous
77621
Continuity of function mapping connected set to connected set
83461
Continuous iff composition with every linear functional is continuous