Abstract. In this short note we show that E ∞ quasi-categories can be re-placed by strictly commutative objects in the larger category of diagrams of simplicial sets indexed by finite sets and injections. This complements earlier work on diagram spaces by Christian Schlichtkrull and the second author. 1
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...
We make use of a higher version of the Yoneda embedding to construct, from a given quasicategory, a ...
In this talk I will explain how the use of functors defined on the category \(I\) of finite sets and...
In this paper we re-develop the foundations of the category theory of quasi-categories (also called ...
Basic notions 1 Equivalences between quasi-categories 3 Quasi-categories as (∞, 1)-categories 4 Homo...
The homotopy category of a stable (∞,1)-category can be endowed with a triangulated structure. The m...
We construct a cubical analogue of the rigidification functor from quasi-categories to simplicial ca...
AbstractThis paper develops the foundations of a simplicial theory of weak ω-categories, which build...
This paper develops the foundations of a simplicial theory of weak ω-categories, which builds upon t...
AbstractWe show that every combinatorial model category is Quillen equivalent to a localization of a...
Abstract. We establish a Quillen model structure on simplicial (symmetric) multicategories. It exten...
The theory of pictures between posets is known to encode much of the combinatorics of symmetric grou...
We prove that four different ways of defining Cartesian fibrations and the Cartesian model structure...
The identification of morphism sets in path categories of simplicial (or cubical) complexes is a cen...
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...
We make use of a higher version of the Yoneda embedding to construct, from a given quasicategory, a ...
In this talk I will explain how the use of functors defined on the category \(I\) of finite sets and...
In this paper we re-develop the foundations of the category theory of quasi-categories (also called ...
Basic notions 1 Equivalences between quasi-categories 3 Quasi-categories as (∞, 1)-categories 4 Homo...
The homotopy category of a stable (∞,1)-category can be endowed with a triangulated structure. The m...
We construct a cubical analogue of the rigidification functor from quasi-categories to simplicial ca...
AbstractThis paper develops the foundations of a simplicial theory of weak ω-categories, which build...
This paper develops the foundations of a simplicial theory of weak ω-categories, which builds upon t...
AbstractWe show that every combinatorial model category is Quillen equivalent to a localization of a...
Abstract. We establish a Quillen model structure on simplicial (symmetric) multicategories. It exten...
The theory of pictures between posets is known to encode much of the combinatorics of symmetric grou...
We prove that four different ways of defining Cartesian fibrations and the Cartesian model structure...
The identification of morphism sets in path categories of simplicial (or cubical) complexes is a cen...
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...
We make use of a higher version of the Yoneda embedding to construct, from a given quasicategory, a ...