47 citations · 80 across the 4 of their papers we have counts for
7 papers
On functorial (co)localization of algebras and modules over operads
Javier J. Gutiérrez, Oliver Röndigs, Markus Spitzweck +1
Motivated by calculations of motivic homotopy groups, we give widely attained conditions under which operadic algebras and modules thereof are preserved under (co)localization func…
On Morita weak equivalences of simplicial algebraic theories and operads
Giovanni Caviglia, Javier J. Gutiérrez
Generalizing a result of Dwyer and Kan for simplicial categories, we characterize the morphisms of multi-sorted simplicial algebraic theories and simplicial coloured operads which…
Morita homotopy theory for -categories and -operads
Giovanni Caviglia, Javier J. Gutiérrez
We prove the existence of Morita model structures on the categories of small simplicial categories, simplicial sets, simplicial operads and dendroidal sets, modelling the Morita ho…
Encoding Equivariant Commutativity via Operads
Javier J. Gutiérrez, David White
In this paper, we prove a conjecture of Blumberg and Hill regarding the existence of -operads associated to given sequences $\mathcal{F} = (\mathcal{F}_n)_{n \in \mathbb{…
Are all localizing subcategories of stable homotopy categories coreflective?
Carles Casacuberta, Javier J. Gutiérrez, Jiří Rosický
We prove that, in a triangulated category with combinatorial models, every localizing subcategory is coreflective and every colocalizing subcategory is reflective if a certain larg…
Motivic slices and colored operads
Javier J. Gutiérrez, Oliver Röndigs, Markus Spitzweck +1
Colored operads were introduced in the 1970's for the purpose of studying homotopy invariant algebraic structures on topological spaces. In this paper we introduce colored operads…
Dold-Kan correspondence for dendroidal abelian groups
Javier J. Gutiérrez, Andor Lukacs, Ittay Weiss
We prove a Dold-Kan type correspondence between the category of dendroidal abelian groups and a suitably constructed category of dendroidal complexes. Our result naturally extends…