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math.AT2024
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…
math.AT2024
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.
math.AT2017
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…