Oeuvres - Collected Papers III 1972 - 1984 [Paperback]

The impact and influence of Jean-Pierre Serre's work have been notable ever since his doctoral thesis on homotopy groups. The abundance of significant results and deep insight contained in his research and survey papers ranging through topology, several complex variables, and algebraic geometry to number theory, group theory, commutative algebra and modular forms, continues to provide inspiring reading for mathematicians working in these areas, in their research and their teaching.Characteristic of Serre's publications are the many open questions he formulated suggesting further research directions. Four volumes specify how he has provided comments on and corrections to most articles, and described the present status of the open questions with reference to later results.Jean-Pierre Serre is one of a few mathematicians to have won the Fields medal, the Abel prize, and the Wolf prize.Extensions de corps ordonnes.- (avec A Borel) Impossibilite de fibrer un espace euclidien par des fibres compactes.- Cohomologie des extensions de groupes.- Homologie singuliere des espaces fibres. I. La suite spectrale.- Homologie singuliere des espaces fibres. II. Les espaces de lacets.- Homologie singuliere des espaces fibres. III. Applicationshomotopiques.- Groupes d'homotopie.- (avec A Borel) Determination des p-puissances reduites de Steenrod dans la cohomologie des groupes classiques. Applications.- Homologie singuliere des espaces fibres. Applications.- (avec H. Cartan) Espaces fibres et groupes d'homotopie.1.Constructions generales.- (avec H. Cartan) Espaces fibres et groupes d'homotopie. II.Applications.- Sur les groupes d'Eilenberg-MacLane.- Sur la suspension de Freudenthal.- Le cinquieme probleme de Hilbert. Etat de la question en 1951.- (avec G. P. Hochschild) Cohomology of group extensions.- (avec G.P. Hochschild) Cohomology of Lie algebras.- Cohomologie et arithmetique.- Groupes d 'homotopie et classes de groupes abeliens.- Cohomologie modulo 2 des complexes d'Eilenberg-lCá