Add to ORKGAbstract. We put a model structure on the category of categories internal to sim-plicial sets. The weak equivalences in this model structure are preserved and reflected by the nerve functor to bisimplicial sets with the complete Segal space model struc-ture. This model structure is shown to be a model for the homotopy theory of infinity categories. We also study the homotopy theory of internal presheaves over an internal category
Abstract. In this paper we put a cobrantly generated model category struc-ture on the category of sm...
AbstractWe show that any closed model category of simplicial algebras over an algebraic theory is Qu...
its simplicial localization yields a “homotopy theory of homotopy theories. ” In this paper we show ...
AbstractGiven any model category, or more generally any category with weak equivalences, its simplic...
The aim of this paper is to describe Quillen model category structures on the category CatC of inter...
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
Abstract. We establish a Quillen model structure on simplicial (symmetric) multicategories. It exten...
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
We study Quillen's model category structure for homotopy of simplicial objects in the context of Jan...
International audienceThis paper endeavors to show the possible application to model theory of conce...
In joint work with Dominic Verity we prove that four models of (â ,1)-categories â quasi-categori...
We establish a Quillen model structure on simplicial(symmetric) multicategories. It extends the mode...
In joint work with Dominic Verity we prove that four models of (â ,1)-categories â quasi-categori...
There is a closed model structure on the category of small categories, called Thomason model structu...
The homotopy theory of infinity-operads is defined by extending Joyal's homotopy theory of infinity-...
Abstract. In this paper we put a cobrantly generated model category struc-ture on the category of sm...
AbstractWe show that any closed model category of simplicial algebras over an algebraic theory is Qu...
its simplicial localization yields a “homotopy theory of homotopy theories. ” In this paper we show ...
AbstractGiven any model category, or more generally any category with weak equivalences, its simplic...
The aim of this paper is to describe Quillen model category structures on the category CatC of inter...
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
Abstract. We establish a Quillen model structure on simplicial (symmetric) multicategories. It exten...
A homotopy n-type is a topological space which has trivial homotopy groups above degree n. Every sp...
We study Quillen's model category structure for homotopy of simplicial objects in the context of Jan...
International audienceThis paper endeavors to show the possible application to model theory of conce...
In joint work with Dominic Verity we prove that four models of (â ,1)-categories â quasi-categori...
We establish a Quillen model structure on simplicial(symmetric) multicategories. It extends the mode...
In joint work with Dominic Verity we prove that four models of (â ,1)-categories â quasi-categori...
There is a closed model structure on the category of small categories, called Thomason model structu...
The homotopy theory of infinity-operads is defined by extending Joyal's homotopy theory of infinity-...
Abstract. In this paper we put a cobrantly generated model category struc-ture on the category of sm...
AbstractWe show that any closed model category of simplicial algebras over an algebraic theory is Qu...
its simplicial localization yields a “homotopy theory of homotopy theories. ” In this paper we show ...