The Selected Works of J. Frank Adams 2 Volume Paperback Set

Volume 1: 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. Volume 2: 1. On formulae of Thom and Wu; 2. On Chern characters and the structure of the unitary group; 3. Chern characters revisited and the structure of the unitary group; 4. Chern characters revisited and addendum; 5. The Hurewicz homomorphism for MU and BP; 6. Hopf algebras of co-operators for real and complex K-theory; 7. Operations of the Nth kind in K-theory; 8. Operations on K-theory of torsion-free spaces; 9. Stable operations on complex K-theory; 10. Primitive elements in the K-theory of BSU; 11. A finiteness theorem in homological algebra; 12. A periodicity theorem in homological algebra; 13. Modules over the Steenrod algebra; 14. Sub-Hopf-algebras of the Steenrod algebra; 15. What we don't know about RP∞; 16. Calculations of Lin's Ext groups; 17. The Segal conjecture for elementary abelian p-groups; 18. The sphere considered as an H-space mod p; 19. H-spaces with few cells; 20. Finite H-spaces and Lie groups; 21. Spin(8) triality, F4 and all that; 22. The fundamental representations of E8; 23. 2-tori in E8; Maps between classifying spaces I, II, and III; 24. Maps between p-completed classifying spaces; 25. An example in homotopy theory; 26. A variant of E. H. Brown's representability theorem; 27. Idempotent functors in homotopy theory; 28. The Kahn–Priddy theorem; 29. Uniquenesss of BSO; 30. Graeme Segal's Burnsides ring conjecture; 31. A generalisation of the Segal conjecture; 32. A generalisation of the Atiyah–Segal completion theorem; 33. Atomic spaces and spectra; 34. Two theorems of J. Lannes; 35. The work of M. J. Hopkins.