9 citations · 10 across the 6 of their papers we have counts for
9 papers
Up-to-homotopy algebras with strict units. (Extended abstract version.)
Agusti Roig
We prove the existence of minimal models a la Sullivan for operads with nontrivial arity zero. So up-to-homotopy algebras with strict units are just operad algebras over these mini…
Up to homotopy algebras with strict units
Agusti Roig
We prove the existence of minimal models a la Sullivan for operads with non-trivial arity zero. So, up to homotopy algebras with strict units are just operad algebras over these mi…
Sullivan minimal models of operad algebras
Joana Cirici, Agustí Roig
We prove the existence of Sullivan minimal models of operad algebras, for a quite wide family of operads in the category of complexes of vector spaces over a field of characteristi…
Godement resolution and operad sheaf homotopy theory
Beatriz Rodriguez Gonzalez, Agusti Roig
We show how to induce products in sheaf cohomology for a wide variety of coefficients: sheaves of dg commutative and Lie algebras, symmetric Omega-spectra, filtered dg algebras, op…
Godement resolutions and sheaf homotopy theory
Beatriz Rodriguez Gonzalez, Agusti Roig
The Godement cosimplicial resolution is available for a wide range of categories of sheaves. In this paper we investigate under which conditions of the Grothendieck site and the ca…
A Cartan-Eilenberg approach to Homotopical Algebra
F. Guillen Santos, V. Navarro, P. Pascual +1
In this paper we propose an approach to homotopical algebra where the basic ingredient is a category with two classes of distinguished morphisms: strong and weak equivalences. Thes…