25 citations · 26 across the 4 of their papers we have counts for
4 papers
On the higher topological complexity of manifolds with abelian fundamental group
N. Cadavid-Aguilar, D. Cohen, J. González +2
We study the higher (or sequential) topological complexity of manifolds with abelian fundamental group. We give sufficient conditions for to be non-…
A study of the Ganea conjecture for topological complexity by using weak topological complexity
Jose M. Garcia-Calcines, Lucile Vandembroucq
In this paper, we provide sufficient conditions for a space to satisfy the Ganea conjecture for topological complexity. To achieve this, we employ two auxiliary invariants: wea…
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…
Weak sectional category
J. M. G. Calcines, L. Vandembroucq
Based on a Whitehead-type characterization of the sectional category we develop the notion of weak sectional category. This is a new lower bound of the sectional category, which is…