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A branch of geometry dealing with convex sets and functions. Polytopes, convex bodies, discrete geometry, linear programming, antimatroids, ...

3 votes

Is it possible to continuously select a probability distribution over fixed points in Brouwe...

There can be no such function even in the category of smooth functions. Here an example for functions $f:[0,1]\to [0,1]$ with $f(0)=\epsilon$ and $f(1)=1-\epsilon$: (1) Let $\operatorname{id}:x\ma …
Martin Kell's user avatar