Show that the intersection of two convex sets is convex.
113922
Proof that the intersection of any finite number of convex sets is a convex set
57943
If $G$ is a convex set, prove that $\mathbb{C}\cup\{\infty\}\setminus G$ is connected.
114139
Convex Hull of Precompact Subset is Precompact
36371
Exercise on convex functions
158399
Show that $\{(x_1,x_2):x_1x_2\geq4,x_1>0,x_2>0\}$ is a convex set
17363
Prove that the intersection of two equivalence relations is an equivalence relation.
106756
Union and Intersection of Sets $A_{i}$ and $B_{j}$
139988
Counter example for a result of intersection of subspaces
62180
Best way to find the intersection of multiple sets?
5738
Cancellation of addition on convex sets
33527
Star convex set is simply connected.
77217
Proof that a coordinate-wise convex function is convex?
97584
How to prove this property using convexity?
106718
Prove if C is midpoint convex and closed then its a convex set
35857
Characterization of log-convexity
41347
The dimension of the intersection of two vector subspaces
67313
Proving $\{(x_1, x_2) \in \mathbb{R}^2_{+} \mid x_1 x_2 \geq 1\}$ is convex