Sommaire du Fascicule no. 1

The ziqqurath of exact sequences of n-groupoids
Singularities and regular paths (an elementary introduction to smooth homotopy)
A characterization of finite cocomplete homological and of semi-abelian categories

Sommaire du Fascicule no. 2

The periodic table of n-categories II: degenerate tricategories
The total exterior differential
TAC : Theory and Applications of Categories
TAC

Sommaire du Fascicule no. 3

On the monadic nature of categories of ordered sets
Covering morphisms of crossed complexes and of cubical omega-groupoids are closed under tensor product
Categories as monoids in Span, Rel and Sup

Sommaire du Fascicule no. 4

A construction of 2-cofiltered bilimits of topoi
Kähler categories
Operadic definition of non-strict cells