Directed trees in a string, real polynomials with triple roots, and chain mails
| dc.creator | Kozlov, Dmitry N. | |
| dc.date | 2002-10-03 | |
| dc.date.accessioned | 2026-07-07T04:51:36Z | |
| dc.date.available | 2026-07-07T04:51:36Z | |
| dc.description | This paper starts with an observation that two infinite series of simplicial complexes, which a priori do not seem to have anything to do with each other, have the same homotopy type. One series consists of the complexes of directed forests on a double directed string, while the other one consists of Shapiro-Welker models for the spaces of hyperbolic polynomials with a triple root. We explain this coincidence in the more general context by finding an explicit homotopy equivalence between complexes of directed forests on a double directed tree, and doubly disconnecting complexes of a tree. | |
| dc.identifier | https://arxiv.org/abs/math/0210045 | |
| dc.identifier | http://arxiv.org/abs/math/0210045 | |
| dc.identifier | Discrete Comput. Geom. 32 (2004), no. 3, 373--382. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65163 | |
| dc.subject | General Topology | |
| dc.subject | Algebraic Topology | |
| dc.subject | Combinatorics | |
| dc.subject | 57Q05; 05C05, 58K15 | |
| dc.title | Directed trees in a string, real polynomials with triple roots, and chain mails | |
| dc.type | text |