Table of Contents

Preliminaries.- Building blocks.- Representations: homology and homotopy.- Surfaces.- Generators: surface, modular groups.- Manifolds of dimension three or more.-—*(X) not finitely generated.- Localization.-—*(X) finitely presented, nilpotent.- L-R duality.- Cellular/homology complexes: methods.- Cellular, homology complexes: calculations.- Non-1-connected postnikov: methods.- Homotopy systems, chain complexes.- Non-1-connected spaces: calculations.- Whitehead torsion, simple homotopy.- Unions and products.- Group theoretic properties.- Homotopy type, homotopy groups.- Homotopy automorphisms of H-spaces.- Fibre and equivariant HE’s.- Applications.