Abstract. In this paper we investigate effective descent morphisms in categories of reflexive and transitive lax algebras. We show in particular that open and proper maps are effec...
In this paper we introduce and study a cohomology theory {Hn(-, A)} for simplicial sets with coefficients in symmetric categorical groups A. We associate to a symmetric categorical...
In this paper we continue the investigation of some aspects of descent theory for schemes that was begun in [11]. Let SCH be a category of schemes. We show that quasi-compact pure ...
The authors have used generalised Galois Theory to construct a homotopy double groupoid of a surjective fibration of Kan simplicial sets. Here we apply this to construct a new hom...