The Selected Works of J. Frank Adams: Volume 1

by J. Frank Adams, J. Peter May (Editor), Charles B. Thomas (Editor)

Overview

This selection of Adams' work in two volumes brings together all his major research contributions. They are organized by subject matter rather than in strict chronological order. The first volume contains papers on the cobar construction, the Adams spectral sequence, higher order cohomology operations, and the Hopf invariant one problem, applications of K-theory, generalized homology and cohomology theories. The second volume is mainly concerned with Adams' contributions to characteristic classes and calculations in K-theory, modules over the Steenrod algebra and their Ext groups, finite H-spaces and compact Lie groups, and maps between classifying spaces and compact groups.

Product Details

ISBN-13:	9780521110679
Publisher:	Cambridge University Press
Publication date:	01/14/2010
Series:	Selected Works of J. Frank Adams , #1
Edition description:	New Edition
Pages:	556
Product dimensions:	7.40(w) x 9.50(h) x 1.20(d)

Table of Contents

1. On the chain algebra of a loop space; 2. On the cobar construction; 3. The structure of the Steenrod algebra; 4. On the non-existence theory of elements of Hopf invariant one; 4. Applications of the Groethendieck–Atiyah–Hirzebruch functor K(X); 5. Vector fields on spheres; 6. On complex Stiefel manifolds; 7. On matrices whose real linear combinations are non-singular and correction; 8. On the groups J(X) I, II, III, and IV and correction; 9. K-theory and the Hopf invariant; 10. Geometric dimension of bundles over RPn; 11. Lectures on generalised cohomology; 12. Algebraic topology in the last decade.