17 citations · 55 across the 9 of their papers we have counts for
10 papers
Towers and fibered products of model structures
Javier J. Gutiérrez, Constanze Roitzheim
Given a left Quillen presheaf of localized model structures, we study the homotopy limit model structure on the associated category of sections. We focus specifically on towers and…
Bousfield localisations along Quillen bifunctors
Javier J. Gutiérrez, Constanze Roitzheim
Consider a Quillen adjunction of two variables between combinatorial model categories from to , and a set of morphisms in…
On solid and rigid monoids in monoidal categories
Javier J. Gutiérrez
We introduce the notion of solid monoid and rigid monoid in monoidal categories and study the formal properties of these objects in this framework. We show that there is a one to o…
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…
A generalization of Ohkawa's theorem
Carles Casacuberta, Javier J. Gutiérrez, Jirí Rosický
A theorem due to Ohkawa states that the collection of Bousfield equivalence classes of spectra is a set. We extend this result to arbitrary combinatorial model categories.
Cellularization of structures in stable homotopy categories
Javier J. Gutiérrez
We describe the formal properties of cellularization functors in triangulated categories and study the preservation of ring and module structures under these functors in stable hom…
Transfer of algebras over operads along derived Quillen adjunctions
Javier J. Gutiérrez
Let V be a cofibrantly generated monoidal model category and let M be a monoidal V-model category. Given a cofibrant C-coloured operad P in V, we give sufficient conditions for the…
A model structure for coloured operads in symmetric spectra
Javier J. Gutiérrez, Rainer M. Vogt
We describe a model structure for coloured operads with values in the category of symmetric spectra (with the positive model structure), in which fibrations and weak equivalences a…
Localization of algebras over coloured operads
Carles Casacuberta, Javier J. Gutierrez, Ieke Moerdijk +1
We give sufficient conditions for homotopical localization functors to preserve algebras over coloured operads in monoidal model categories. Our approach encompasses a number of pr…
Homological localizations of Eilenberg-Mac Lane spectra
Javier J. Gutiérrez
We discuss the Bousfield localization for any spectrum and any -module , where is a ring with unit. Due to the splitting property of -modules, it is enou…