Some examples of universal and generic partial orders
arXiv:1002.1633 · doi:10.1090/conm/558
Abstract
We survey structures endowed with natural partial orderings and prove their universality. These partial orders include partial orders on sets of words, partial orders formed by geometric objects, grammars, polynomials and homomorphism order for various combinatorial objects.
31 pages, 5 figures. Updated version with many grammar fixes and also few minor corrections in proof in Section 3. Accepted for Model theoretic methods in finite Combinatorics