17 citations · 60 across the 15 of their papers we have counts for
4 papers · 1 filter
Homotopy transfer and rational models for mapping spaces
Urtzi Buijs, Javier J. Gutiérrez
By using homotopy transfer techniques in the context of rational homotopy theory, we show that if is a coalgebra model of a space , then the -coalgebra structure i…
rational homotopy of mapping spaces
Urtzi Buijs, Yves Félix, Aniceto Murillo
In this paper we describe explicit algebras modeling the rational homotopy type of any component of the spaces $\map(X,Y)$ and $\map^*(X,Y)$ of free and pointed maps bet…
The Lawrence-Sullivan construction is the right model of
Urtzi Buijs, Aniceto Murillo
We prove that the universal enveloping algebra of the Lawrence-Sullivan construction is a particular perturbation of the complete Baues-Lemaire cylinder of . Together with oth…
Algebraic models of non-connected spaces and homotopy theory of algebras
Urtzi Buijs, Aniceto Murillo
We develop a homotopy theory of algebras based on the Lawrence-Sullivan construction, a complete differential graded Lie algebra which, as we show, satisfies the necessa…