17 citations · 81 across the 27 of their papers we have counts for
33 papers · 1 filter
A stable framework for proper and exterior homotopy and cohomology theories
Antonio Ceres, José M. García-Calcines, Aniceto Murillo
We develop a stable framework for exterior homotopy theory and apply it to proper homotopy theory. Starting from a known simplicial model structure on the category of exterior spac…
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…
Proper topological complexity
Jose M. Garcia-Calcines, Aniceto Murillo
We introduce and study the proper topological complexity of a given configuration space, a version of the classical invariant for which we require that the algorithm controlling th…
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…
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…