Prove that a star convex set is simply connected.
33527
Star convex set is simply connected.
105666
What's an easy way to show that $GL(n,\mathbb C)$ is connected?
71619
Proving that a convex function is Lipschitz
40438
Proving that closed (and open) balls are convex
129081
Proof that convex open sets in $\mathbb{R}^n$ are homeomorphic?
70538
Intersection and union of simply connected domain
116866
$A\times B$ connected component implies $A,B$ connect components
142142
Show that a convex polygon is contained within the largest circle determined by three consecutive vertices
158850
Is it true that a boundary of a simply connected and bounded set is connected in $\mathbb{C}$?
39455
Prove that $(X\times Y)\setminus (A\times B)$ is connected
114599
$A \cup B$ and $A \cap B$ connected $\implies A$ and $B$ are connected
28641
Suppose $Y\subset X$ and $X,Y$ are connected and $A,B$ form separation for $X-Y$ then, prove that $Y\cup A$ and $Y\cup B$ are connected
60887
$d_A(x) = \inf_{a \in A} \|x-a\|$ is convex if and only if $A$ is convex
116851
Show that f(x) is convex
14448
Elementary proof that $|x|^p$ is convex.
62911
Let $(X,\tau)$ be a connected topological space, $Y\subset X$ connected and $U\subset X\setminus Y$ clopen. Prove that $ Y \cup U$ is connected
36878
Prove that $\operatorname{SL}(n,\Bbb R)$ is connected.