Springer Collected Works in Mathematics

Hopf, Heinz; Eckmann, Beno

From the preface: "Hopf algebras, Hopf fibration of spheres, Hopf-Rinow complete Riemannian manifolds, Hopf theorem on the ends of groups - can one imagine modern mathematics without all this? Many other concepts and methods, fundamental in various mathematical disciplines, also go back directly or indirectly to the work of Heinz Hopf: homological algebra, singularities of vector fields and characteristic classes, group-like spaces, global differential geometry, and the whole algebraisation of topology with its influence on group theory, analysis and algebraic geometry. It is astonishing to realize that this oeuvre of a whole scientific life consists of only about 70 writings. Astonishing also the transparent and clear style, the concreteness of the problems, and how abstract and far-reaching the methods Hopf invented."

Details

Published by: Springer

Publication Date: 2013-10-24

Format: Paperback

ISBN-13: 9783642383687

DOI: 10.1007/978-3-642-40036-0

Dimensions: 235cm x155cm

Pages: 1271