3 papers
math.AT2025
A new approach to rational stable parametrized homotopy theory
Yves Félix, Aniceto Murillo, Alejandro Saiz
This work develops a comprehensive algebraic model for rational stable parametrized homotopy theory over arbitrary base spaces. Building on the simplicial analogue of the foundatio…
math.AT2024
A Lie characterization of the Bousfield-Kan -completion and -good spaces
Yves Félix, Mario Fuentes, Aniceto Murillo
We prove that the unit of the Quillen pair given by the model and realization functor i…
math.AT2023
Rational homotopy type of relative universal fibrations
Yves Félix, Mario Fuentes, Aniceto Murillo
For any group of self homotopy equivalences of the finite nilpotent complex , acting nilpotently on its homology, and for any nilpotent subcomplex , we prove that the uni…