Download Adams Memorial Symposium on Algebraic Topology: Volume 1 by Nigel Ray, Grant Walker PDF

By Nigel Ray, Grant Walker

J. Frank Adams had a profound effect on algebraic topology, and his works proceed to form its improvement. The foreign Symposium on Algebraic Topology held in Manchester in the course of July 1990 was once devoted to his reminiscence, and nearly the entire world's prime specialists took half. This two-volume paintings constitutes the court cases of the symposium. The articles contained the following variety from overviews to experiences of labor nonetheless in growth, in addition to a survey and entire bibliography of Adams' personal paintings. those court cases shape a huge compendium of present study in algebraic topology, and person who demonstrates the intensity of Adams' many contributions to the topic. the following within the first quantity the topic is especially volatile homotopy conception, homological and express algebra. the second one quantity is orientated towards strong homotopy thought, the Steenrod algebra and the Adams spectral series.

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May (with contributions by Nigel Ray, Frank Quinn, and J. Tornehave) E,o ring spaces and E,o ring spectra. Springer Lecture Notes in Mathematics Vol 577, 1977]. May: The work of J. F. (SO) -4 7rr. Here d = 0 except in the real case with r - 1 or 2 mod 8, when d detects a direct summand Z2 V- Im J generated by elements µ,. For any r, the real e invariant detects Im J as a direct summand, the case r - 7 mod 8 being incomplete in the paper since the full Adams conjecture was not yet available. Various composition products and Toda brackets are detected by means of Yoneda and Massey products in the target groups.

These calculations have been cited in several talks here. An interesting survey, Algebraic topology in the last decade [43], based on a lecture given at a conference at the University of Wisconsin, also dates May: The work of J. F. Adams 11 from 1970. 1971 Stable homotopy and generalized homology * [49] This classic lecture series is still the best introduction to its topics, although many of us prefer more idealistic approaches to the construction of the stable homotopy category. Its treatment of convergence of the ASS marked a major improvement over earlier work.

Wall sur l'algebre de cobordisme Il, Bull. Soc. Math. France 87 (1959), 281-284. 14. On the non-existence of elements of Hopf invariant one, Ann. of Math. 72 (1960), 20-104. 15. Appendix to a paper of E. R. Reifenberg, Acta Math. 104 (1960), 76-91. Bibliography of J. F. Adams 23 16. The sphere, considered as an H-space mod p, Quart. J. Math. Oxford Ser. (2), 12 (1961), 52-60. 17. A finiteness theorem in homological algebra, Proc. Cambridge Philos. Soc. 57 (1961), 31-36. 18. On Chern characters and the structure of the unitary group, Proc.

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