1 citations · 1 across the 3 of their papers we have counts for
4 papers
The Ganea conjecture for rational approximations of sectional category
J. G. Carrasquel-Vera
We give bounds for the module sectional category of products of maps which generalise a theorem of Jessup for Lusternik-Schnirelmann category. We deduce also a proof of a Ganea typ…
Rational approximations of sectional category and Poincaré duality
José Gabriel Carrasquel-Vera, Thomas Kahl, Lucile Vandembroucq
Félix, Halperin, and Lemaire have shown that the rational module category Mcat and the rational Toomer invariant coincide for simply connected Poincaré duality complexes. We…
Relative category and monoidal topological complexity
J. G. Carrasquel-Vera, J. M. García Calcines, L. Vandembroucq
If a map has a homotopy retraction, then Doeraene and El Haouari conjectured that the sectional category and the relative category of are the same. In this work we discuss…
Computations in rational sectional category
J. G. Carrasquel-Vera
We give simple upper bounds for rational sectional category and use them to compute invariants of the type of Farber's topological complexity of rational spaces. In particular we s…