On the topology of nested set complexes
| dc.creator | Feichtner, Eva Maria | |
| dc.creator | Mueller, Irene | |
| dc.date | 2003-11-25 | |
| dc.date.accessioned | 2026-07-07T05:03:14Z | |
| dc.date.available | 2026-07-07T05:03:14Z | |
| dc.description | Nested set complexes appear as the combinatorial core of De Concini-Procesi arrangement models. We show that nested set complexes are homotopy equivalent to the order complexes of the underlying meet-semilattices without their minimal elements. For atomic semilattices, we consider the realization of nested set complexes by simplicial fans as proposed in math.AG/0305142 by the first author and S. Yuzvinsky. We show that in this case the nested set complexes in fact are homeomorphic to the mentioned order complexes. | |
| dc.description | 8 pages | |
| dc.identifier | https://arxiv.org/abs/math/0311430 | |
| dc.identifier | http://arxiv.org/abs/math/0311430 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/69330 | |
| dc.subject | Combinatorics | |
| dc.subject | 06A11; 05E25, 32S45, 57N80 | |
| dc.title | On the topology of nested set complexes | |
| dc.type | text |