By Nigel Ray, Grant Walker
J. Frank Adams had a profound impact on algebraic topology, and his works proceed to form its improvement. The overseas Symposium on Algebraic Topology held in Manchester in the course of July 1990 used to be devoted to his reminiscence, and almost the entire world's prime specialists took half. This two-volume paintings constitutes the lawsuits of the symposium. The articles contained right here variety from overviews to experiences of labor nonetheless in development, in addition to a survey and whole bibliography of Adams' personal paintings. those lawsuits shape a massive compendium of present learn in algebraic topology, and one who demonstrates the intensity of Adams' many contributions to the topic. the following within the first quantity the topic is principally volatile homotopy concept, homological and specific algebra. the second one quantity is orientated towards strong homotopy thought, the Steenrod algebra and the Adams spectral series.
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Extra info for Adams Memorial Symposium on Algebraic Topology: Volume 1
76 (1974), 45-52. 51. Geometric dimension of bundles over RP", Publ. Res. Inst. Math. , Kyoto Univ. (1974), 1-17. 52. Idempotent functors in homotopy theory, in Manifolds - Tokyo 1973, Univ. of Tokyo Press 1975, 247-253. 53. (with A. Liulevicius) Buhstaber's work on two-valued formal groups, Topology 14 (1975), 291-296. 54. (with P. Hoffman) Operations on K-theory of torsion-free spaces, Math. Proc. Cambridge Philos. Soc. 79 (1976), 483-491. 55. (with Z. Mahmud) Maps between classifying spaces, Invent.
Our subject is thriving, and nowhere more so than in the directions that he himself pioneered. Beyond his published work, Adams contributed to the development of our subject in many other ways. He was a good friend and mentor to many of us. His correspondence with mathematicians all over the world was extraordinary. He wrote me well over 1,000 handwritten pages, and I was only one of many regular correspondents. He was especially generous and helpful to young mathematicians just starting out. There are many proofs attributed to Adams in the work of others, and there are many proofs and some essentially complete rewrites that come from his "anonymous" referee's reports.
On the groups J(X)-II, Topology 3 (1965), 137-171. 29. (with G. Walker) On complex Stiefel manifolds, Proc. Cambridge Philos. Soc. 61 (1965), 81-103. 30. On the groups J(X), in Differential and Combinatorial Topology, Princeton Univ. Press 1965, 121-143. 31. On the groups J(X)-III, Topology 3 (1965), 193-222. 32. (with P. D. Lax and R. S. Phillips) On matrices whose real linear combinations are non-singular, Proc. Amer. Math. Soc. 16 (1965), 318-322; with a correction, ibid. 17 (1966), 945-947.