Maps between higher Bruhat orders and higher Stasheff-Tamari posets
| dc.creator | Thomas, Hugh | |
| dc.date | 2002-12-06 | |
| dc.date | 2002-12-07 | |
| dc.date.accessioned | 2026-07-07T04:53:35Z | |
| dc.date.available | 2026-07-07T04:53:35Z | |
| dc.description | We make explict a description in terms of convex geometry of the higher Bruhat orders B(n,d) sketched by Kapranov and Voevodsky. We give an analogous description of the higher Stasheff-Tamari poset S_1(n,d). We show that the map f sketched by Kapranov and Voevodsky from B(n,d) to S([0,n+1],d+1) coincides with the map constructed by Rambau, and is a surjection for d<=2. We construct a map analogous to f from S_1(n,d) to B(n-1,d), and show that it is always a poset embedding. We also give an explicit criterion to determine if an element of B(n-1,d) is in the image of this map. | |
| dc.description | 26 pages, 5 figures. Changes from version one are minor and confined to one paragraph | |
| dc.identifier | https://arxiv.org/abs/math/0212097 | |
| dc.identifier | http://arxiv.org/abs/math/0212097 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65910 | |
| dc.subject | Combinatorics | |
| dc.subject | Metric Geometry | |
| dc.subject | 52B05 (Primary); 06A07; 52B12; 57Q15 (Secondary) | |
| dc.title | Maps between higher Bruhat orders and higher Stasheff-Tamari posets | |
| dc.type | text |