4 papers
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.AT2024
Integration of the Baker-Campbell-Hausdorff product
Mario Fuentes
In an arbitrary complete differential graded Lie algebra, we construct a group operation on such that the differential of the product of two elements is the Baker-C…
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…
math.AT2021
Classification of fiber sequences with a prescribed holonomy action
Mario Fuentes
We define -fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup of $\ma…