Joins of DGA modules and sectional category
| dc.creator | Suarez, Lucia Fernandez | |
| dc.creator | Ghienne, Pierre | |
| dc.creator | Kahl, Thomas | |
| dc.creator | Vandembroucq, Lucile | |
| dc.date | 2009-02-27 | |
| dc.date.accessioned | 2026-07-07T12:47:35Z | |
| dc.date.available | 2026-07-07T12:47:35Z | |
| dc.description | We construct an explicit semifree model for the fiber join of two fibrations p: E --> B and p': E' --> B from semifree models of p and p'. Using this model, we introduce a lower bound of the sectional category of a fibration p which can be calculated from any Sullivan model of p and which is closer to the sectional category of p than the classical cohomological lower bound given by the nilpotency of the kernel of p^*: H^*(B;Q) --> H^*(E;Q). In the special case of the evaluation fibration X^I --> X x X we obtain a computable lower bound of Farber's topological complexity TC(X). We show that the difference between this lower bound and the classical cohomological lower bound can be arbitrarily large. | |
| dc.description | This is the version published by Algebraic & Geometric Topology on 24 February 2006 | |
| dc.identifier | https://arxiv.org/abs/0902.4823 | |
| dc.identifier | http://arxiv.org/abs/0902.4823 | |
| dc.identifier | Algebr. Geom. Topol. 6 (2006) 119-144 | |
| dc.identifier | doi:10.2140/agt.2006.6.119 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221770 | |
| dc.subject | Algebraic Topology | |
| dc.subject | 55M30, 55P62 | |
| dc.title | Joins of DGA modules and sectional category | |
| dc.type | text |