On the category of Euclidean configuration spaces and associated fibrations
| dc.creator | Roth, Fridolin | |
| dc.date | 2009-04-06 | |
| dc.date.accessioned | 2026-07-07T13:01:11Z | |
| dc.date.available | 2026-07-07T13:01:11Z | |
| dc.description | We calculate the Lusternik-Schnirelmann category of the k-th ordered configuration spaces F(R^n,k) of R^n and give bounds for the category of the corresponding unordered configuration spaces B(R^n,k) and the sectional category of the fibrations pi^n_k: F(R^n,k) --> B(R^n,k). We show that secat(pi^n_k) can be expressed in terms of subspace category. In many cases, eg, if n is a power of 2, we determine cat(B(R^n,k)) and secat(pi^n_k) precisely. | |
| dc.description | This is the version published by Geometry & Topology Monographs on 19 March 2008 | |
| dc.identifier | https://arxiv.org/abs/0904.1013 | |
| dc.identifier | http://arxiv.org/abs/0904.1013 | |
| dc.identifier | Geom. Topol. Monogr. 13 (2008) 447-461 | |
| dc.identifier | doi:10.2140/gtm.2008.13.447 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/226075 | |
| dc.subject | Algebraic Topology | |
| dc.subject | General Topology | |
| dc.subject | 55M30, 55R80, 55S40 | |
| dc.title | On the category of Euclidean configuration spaces and associated fibrations | |
| dc.type | text |