Enumerative properties of triangulations of spherical bundles over S^1
| dc.creator | Chestnut, Jacob | |
| dc.creator | Sapir, Jenya | |
| dc.creator | Swartz, Ed | |
| dc.date | 2006-11-02 | |
| dc.date | 2007-03-20 | |
| dc.date.accessioned | 2026-07-07T07:52:34Z | |
| dc.date.available | 2026-07-07T07:52:34Z | |
| dc.description | We give a complete characterization of all possible pairs (v,e), where v is the number of vertices and e is the number of edges, of any simplicial triangulation of an S^k-bundle over S^1. The main point is that Kuhnel's triangulations of S^{2k+1} x S^1 and the nonorientable S^{2k}-bundle over S^1 are unique among all triangulations of (n-1)-dimensional homology manifolds with first Betti number nonzero, vanishing second Betti number, and 2n+1 vertices. | |
| dc.description | To appear in European J. of Combinatorics. Many typos fixed | |
| dc.identifier | https://arxiv.org/abs/math/0611039 | |
| dc.identifier | http://arxiv.org/abs/math/0611039 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/125923 | |
| dc.subject | Combinatorics | |
| dc.subject | Geometric Topology | |
| dc.subject | 05A99; 57Q15 | |
| dc.title | Enumerative properties of triangulations of spherical bundles over S^1 | |
| dc.type | text |