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A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...
3
votes
Continuous automorphism groups of normed vector spaces?
Consider the following norm on $\mathbb{R}^{2}$: $||(x,y)||$ := $|x|+|y|$
if $xy\leq0$; $||(x,y)||$ := $|y|$
if $xy\geq0$ and $|y|$ $\geq3|x|$;
$||(x,y)||$ := $|x|+ …