AbstractA quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman and Vogt. It has an associated homotopy category hoX. We show that X is a Kan complex iff hoX is a groupoid. The result plays an important role in the theory of quasi-categories (in preparation). Here we make an application to the theory of initial objects in quasi-categories. We briefly discuss the notions of limits and colimits in quasi-categories
AbstractThe category of cubical sets with connections of Brown and Higgins is introduced as a possib...
Abstract. In this paper we redevelop the foundations of the category theory of quasi-categories (als...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
AbstractA quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman ...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
Thesis (Ph. D. )--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.Includes bibliog...
The identification of morphism sets in path categories of simplicial (or cubical) complexes is a cen...
AbstractWe introduce the notion of algebraic fibrant objects in a general model category and establi...
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...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
ABSTRACT. As is pointed out in [Smith (1997)], in many applications of quasigroups isotopies and hom...
In this paper we re-develop the foundations of the category theory of quasi-categories (also called ...
AbstractBy means of a (slightly non-abelian) generalization of the classical Dold-Kan theorem for si...
AbstractThe category of cubical sets with connections of Brown and Higgins is introduced as a possib...
Abstract. In this paper we redevelop the foundations of the category theory of quasi-categories (als...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
AbstractA quasi-category X is a simplicial set satisfying the restricted Kan conditions of Boardman ...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
Abstract. Consider a diagram of quasi-categories that admit and functors that preserve limits or col...
Thesis (Ph. D. )--Massachusetts Institute of Technology, Dept. of Mathematics, 2007.Includes bibliog...
The identification of morphism sets in path categories of simplicial (or cubical) complexes is a cen...
AbstractWe introduce the notion of algebraic fibrant objects in a general model category and establi...
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...
AbstractIn this paper a nonabelian version of the Dold-Kan-Puppe theorem is provided, showing how th...
ABSTRACT. As is pointed out in [Smith (1997)], in many applications of quasigroups isotopies and hom...
In this paper we re-develop the foundations of the category theory of quasi-categories (also called ...
AbstractBy means of a (slightly non-abelian) generalization of the classical Dold-Kan theorem for si...
AbstractThe category of cubical sets with connections of Brown and Higgins is introduced as a possib...
Abstract. In this paper we redevelop the foundations of the category theory of quasi-categories (als...
Abstract. We argue for the addition of category theory to the toolkit of toric topology, by surveyin...
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