EDITOR'S PREFACE PREFACE 1. ALGEBRAIC CONSTRUCTIONS 2. HOMOTOPY THEORETICAL LOCALIZATION 3. COMPLETIONS IN HOMOTOPY THEORY 4. SPHERICAL FIBRATIONS 5. ALGEBRAIC GEOMETRY 6. THE GALOIS GROUP IN GEOMETRIC TOPOLOGY REFERENCES GALOIS SYMMETRY IN MANIFOLD THEORY AT THE PRIMES Reprint from Proc.1970 Nice ICM POSTSCRIPT(2004)