32 citations · 61 across the 12 of their papers we have counts for
15 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…
An upper bound for the rational topological complexity of a family of elliptic spaces
Said Hamoun, Youssef Rami, Lucile Vandembroucq
In this work, we show that, for any simply-connected elliptic space admitting a pure minimal Sullivan model with a differential of constant length, we have ${\rm TC}_0(S)\leq 2…
On the rational topological complexity of coformal elliptic spaces
Said Hamoun, Youssef Rami, Lucile Vandembroucq
We establish some upper and lower bounds of the rational topological complexity for certain classes of elliptic spaces. Our techniques permit us in particular to show that the rati…
On the topological complexity of manifolds with abelian fundamental group
Daniel C. Cohen, Lucile Vandembroucq
We find conditions which ensure that the topological complexity of a closed manifold with abelian fundamental group is nonmaximal, and see through examples that our conditions…
On the LS-category and topological complexity of projective product spaces
Seher Fişekci, Lucile Vandembroucq
We determine the Lusternik-Schnirelmann category of the projective product spaces introduced by D. Davis. We also obtained an upper bound for the topological complexity of these sp…
Motion planning in connected sums of real projective spaces
Daniel C. Cohen, Lucile Vandembroucq
The topological complexity is a homotopy invariant of a topological space , motivated by robotics, and providing a measure of the navigational complexity of . T…