1 citations · 1 across the 8 of their papers we have counts for
8 papers
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…
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…
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…
All known realizations of complete Lie algebras coincide
Yves Félix, Mario Fuentes, Aniceto Murillo
We prove that for any reduced differential graded Lie algebra L, the classical Quillen geometrical realization is homotopy equivalent to the realization $\lang…
Realization of Lie algebras of derivations and moduli spaces of some rational homotopy types
Yves Félix, Mario Fuentes, Aniceto Murillo
We construct Lie algebras of derivations (and identify their geometrical realization) whose Maurer-Cartan sets provide moduli spaces describing the classes of homotopy types of rat…
Lie models of homotopy automorphism monoids and classifying fibrations
Yves Félix, Mario Fuentes, Aniceto Murillo
Given a finite nilpotent simplicial set, consider the classifying fibrations where and denote, respect…
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…
The equivariant K- and KO-theory of certain classifying spaces via an equivariant Atiyah-Hirzebruch spectral sequence
Mario Fuentes
Computation of the K- and KO-theory for the classifying G-spaces for proper actions of certain infinite discrete groups G via a special version of the equivariant Atiyah- Hirzebruc…