A comparison of Vassiliev and Ziegler-Zivaljevic models for homotopy types of subspace arrangements
| dc.creator | Kozlov, Dmitry N. | |
| dc.date | 2001-10-25 | |
| dc.date.accessioned | 2026-07-07T04:44:05Z | |
| dc.date.available | 2026-07-07T04:44:05Z | |
| dc.description | In this paper we represent the Vassiliev model for the homotopy type of the one-point compactification of subspace arrangements as a homotopy colimit of an appropriate diagram over the nerve complex of the intersection semilattice of the arrangement. Furthermore, using a generalization of simplicial collapses to diagrams of topological spaces over simplicial complexes, we construct an explicit deformation retraction from the Vassiliev model to the Ziegler-Zivaljevic model. | |
| dc.identifier | https://arxiv.org/abs/math/0110279 | |
| dc.identifier | http://arxiv.org/abs/math/0110279 | |
| dc.identifier | Topology Appl. 126 (2002), no. 1-2, 119--129. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62492 | |
| dc.subject | Combinatorics | |
| dc.subject | Algebraic Topology | |
| dc.subject | 52C35 (primary); 06A11, 52B30 (secondary) | |
| dc.title | A comparison of Vassiliev and Ziegler-Zivaljevic models for homotopy types of subspace arrangements | |
| dc.type | text |