The universality theorems for oriented matroids and polytopes
Jürgen Richter-Gebert · Contemporary mathematics - American Mathematical Society · 1999
Universality Theorems are exciting achievements in the theories of polytopes and oriented matroids. This article surveys the main developments in that context. We explain the basic constructions that lead to Universality Theorems. In particular, we show that one can use the Universality Theorem for rank 3 oriented matroids to obtain a Universality Theorem for 6-dimensional polytopes.