Sommaire du Fascicule no. 1

A note on Girard quantales
The topology of continuous partially-additive monoids
Local analytic rings
Compact objects surjectivity of epimorphisms and compactifications
Languages for triples, bicategories and braided monoidal categories

Sommaire du Fascicule no. 2

Homology groups H n q (-) and eight-term exact sequences
Relative derived functors and the homology of groups
The classifying topos of a continuous groupoid. II
Functors between homotopy theories

Sommaire du Fascicule no. 3

(E,M)-functors and M-universal initial completions
Gamuts and cofibrations
Sheaves of semiprime ideals
Homology of weighted simplicial complexes
Convergence in some ringed toposes

Sommaire du Fascicule no. 4

Nilpotent crossed modules and pro-C completions
Glueing enriched modules and composition of automata
Exponentiable embeddings in totally reflective subcategories of TOP
The category of uniform frames
Convenient affine algebraic varieties