By Nigel Ray, Grant Walker
J. Frank Adams had a profound effect on algebraic topology, and his paintings maintains 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 best specialists took half. This quantity paintings constitutes the complaints of the symposium; the articles contained the following diversity from overviews to experiences of labor nonetheless in development, in addition to a survey and whole bibliography of Adam's personal paintings. those court cases shape an immense compendium of present examine in algebraic topology, and person who demonstrates the intensity of Adams' many contributions to the topic. This moment quantity is orientated in the direction of homotopy idea, the Steenrod algebra and the Adams spectral series. within the first quantity the subject is principally volatile homotopy thought, homological and express.
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Extra resources for Adams Memorial Symposium on Algebraic Topology: Volume 2
Math. 107 (1985), 895-932. K. BOUSFIELD, A classification of K-local spectra, J. Pure Appl. Algebra. 66 (1990), 121-163.  B. MITCHELL, Rings with several objects, Adv. Math. 8 (1972), 1-161. C. RAVENEL, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984), 351-414.  Z. tics, Vol. 1418, (1990), 156-174. DETRUNCATING MORAVA K-THEORY John Robert Hunton* Dedicated to the memory of Frank Adams. §1 Introduction In  we considered the problem of computing the Morava K-theory of extended power constructions K(n)*(Dp(X)) for various spaces X.
Proof of Theorem 12. It suffices to prove the result for X connected. Up to a multiple by a power of v,,, an element x E K(n)2r(X) can be considered as a map X -) K(n)'2r. Theorem 11 allows x to be lifted to a map i:X --p E(n)',..
I>o Ravenel : Report on the telescope conjecture 11 In particular the resulting map S2p-3 S° is al, the generator of the (2p - 3)-stem corresponding to the element h1,0 in the Adams spectral sequence. , the generator of the 2(p2 - p - 1)-stem, which corresponds to b1,0 in the Adams spectral sequence. In general, the bottom cell of D; is mapped in by m. DP is a 4-cell complex of the form DP = so Up e1 Ua1 e2P-2 UP e2P-1 where the third cell is attached to the bottom cell by a1. The restriction of f, to the bottom cell is 31.
Adams Memorial Symposium on Algebraic Topology: Volume 2 by Nigel Ray, Grant Walker