Convex Geometry of Building Sets
Convex Geometry of Building Sets
Building sets were introduced in the study of wonderful compactifications of hyperplane arrangement complements and were later generalized to meet-semilattices. Convex geometries, the duals of antimatroids, offer a robust combinatorial abstraction of convexity. Supersolvable convex geometries and antimatroids make appearances in the study of poset closure operators, Coxeter groups, and …