Closure of an open convex set is convex
71829
Is closure of convex subset of $X$ is again a convex subset of $X$?
18763
injective holomorphic function on a convex set
127900
Interior of closure of open set in topological space
57943
If $G$ is a convex set, prove that $\mathbb{C}\cup\{\infty\}\setminus G$ is connected.
6335
Proving that the set enclosed by an ellipse is convex
82900
Show that Minkowski sum of a closed set and a compact set in $\mathbb{R}^n$ is closed.
116382
Showing convexity of a function with the restriction over an arbitrary line
49374
Closure of a subset in a metric space
129081
Proof that convex open sets in $\mathbb{R}^n$ are homeomorphic?
103923
Double orthogonal complement is equal to topological closure
99236
Interior of closure of an open set
84512
The preimage of continuous function on a closed set is closed.
123732
Proving that the maximum of two convex functions is also convex
73074
$f \text{ convex }\Rightarrow \forall (x_0,f(x_0))\in \Gamma(f) \exists a : \forall x\in \mathbb{R}, f(x) \ge a(x-x_0)+f(x_0)$
15924
Convexity and strong lower semicontinuity imply weak lower semicontinuity
15645
Is convex open set in $\mathbb{R}^n$ is regular?
30423
interior points and convexity