Name
Abstract | ||
|---|---|---|
We construct CW spheres from the lattices that arise as the closed sets of a convex closure, the meet-distributive lattices. These spheres are nearly polytopal, in the sense that their barycentric subdivisions are simplicial polytopes. The complete information on the numbers of faces and chains of faces in these spheres can be obtained from the defining lattices in a manner analogous to the relation between arrangements of hyperplanes and their underlying geometric intersection lattices. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1007/s00454-007-9020-3 | Discrete & Computational Geometry |
Keywords | Field | DocType |
Abstract convexity,Quasisymmetric functions,Meet-distributive lattice,Join-distributive lattice | Topology,Combinatorics,Distributive lattice,Lattice (order),Regular polygon,Closed set,Simplicial complex,Polytope,Hyperplane,Mathematics,Barycentric coordinate system | Journal |
Volume | Issue | ISSN |
39 | 1 | 0179-5376 |
Citations | PageRank | References |
2 | 0.42 | 10 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Louis J. Billera | 1 | 279 | 57.41 |
| Samuel K. Hsiao | 2 | 7 | 2.34 |
| J. Scott Provan | 3 | 678 | 90.11 |