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.
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.
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