6 citations · 8 across the 6 of their papers we have counts for
6 papers
Explicit Quillen models for Cartesian products of -cones
Urtzi Buijs, José Carrasquel, Lucile Vandembroucq
We give an explicit minimal Quillen model for the Cartesian product of rational -cones in terms of derivations and a binary operation $\star \colon \mathbb{M}(V)\oti…
Sectional category à la Quillen
Urtzi Buijs, José Carrasquel
In this note we give a characterization of the sectional category of a map between rational spaces in terms of its Koszul-Quillen model.
On the sectional category of subgroup inclusions and Adamson cohomology theory
Zbigniew Błaszczyk, José Carrasquel, Arturo Espinosa Baro
The sectional category of a subgroup inclusion can be defined as the sectional category of the corresponding map between Eilenberg--MacLane spaces. We extend…
Rational methods applied to sectional category and topological complexity
José Carrasquel
This survey is a guide for the non specialist on how to use rational homotopy theory techniques to get approximations of Farber's topological complexity, in particular, and of Schw…
Topological complexity and efficiency of motion planning algorithms
Zbigniew Błaszczyk, José Carrasquel
We introduce a variant of Farber's topological complexity, defined for smooth compact orientable Riemannian manifolds, which takes into account only motion planners with the lowest…
Module sectional category of products
J. G. Carrasquel-Vera, P. -E. Parent, L. Vandembroucq
Extending a result of Félix-Halperin-Lemaire on Lusternik-Schnirelmann category of products, we prove additivity of a rational approximation for Schwarz's sectional category with r…