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Klappentext The selected works of one the greatest names in algebraic topology. Zusammenfassung J. Frank Adams was one of the world's leading topologists. He solved a number of celebrated problems in algebraic topology! a subject in which he initiated many of the most active areas of research. This selection! in two volumes! brings together all his major research contributions. Inhaltsverzeichnis 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....
