What would be an example of a convex set in one dimension?
72659
How can we define convexity in one dimension?
81927
Example of closed and bounded in $\mathbb Q$ set that is not compact
15160
Example of Riemann integrable $f: [0,1] \to \mathbb R $ whose set of discontinuity points is an uncountable and dense set in $[0,1]$
121095
Is convex hull of a finite set of points in $\mathbb R^2$ closed?
149536
Why is the  $L_p$ norm strictly convex for $1<p<\infty?$
32110
$\forall x,y\in\partial S$, the line connecting $\{x,y\}$, $L\{x,y\}\cap\partial S=\{x,y\}$, then $S$ must be either convex or concave?
87207
Prove that the support function of an arbitrary set $A\subset\mathbb R^n$ is convex
58277
If nonempty, nonsingleton $Y$ is a proper convex subset of a simply ordered set $X$, then $Y$ is ray or interval?
115814
If $\operatorname{Re}f^\prime > 0$ on a convex domain, then $f$ is one-to-one.
25171
Why does a convex set have the same interior points as its closure?
97584
How to prove this property using convexity?
25738
Jensen's Inequality implies convexity?
63538
Impossibility of constructing a continuum-size linearly independent set in $\Bbb R$
129227
An example of neither open nor closed set
106718
Prove if C is midpoint convex and closed then its a convex set
107321
How to show convexity of a ball in metric space?
140383
Concave implies subadditive