Algebraic Topology: Proceedings of an International by I. M. James (auth.), Gunnar Carlsson, Ralph Cohen, Haynes

By I. M. James (auth.), Gunnar Carlsson, Ralph Cohen, Haynes Miller, Douglas Ravenel (eds.)

These are court cases of a global convention on Algebraic Topology, held 28 July via 1 August, 1986, at Arcata, California. The convention served partially to mark the twenty fifth anniversary of the magazine Topology and sixtieth birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and used to be conceived as a successor to the Aarhus meetings of 1978 and 1982. a few thirty papers are incorporated during this quantity, normally at a study point. matters contain cyclic homology, H-spaces, transformation teams, actual and rational homotopy concept, acyclic manifolds, the homotopy idea of classifying areas, instantons and loop areas, and intricate bordism.

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Extra resources for Algebraic Topology: Proceedings of an International Conference held in Arcata, California, July 27 – August 2, 1986

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P. 316] remain the is t r i v i a l the W h i t e h e a d S ~ vS 1)-, c = u + d(v), Put us u n d e r s t a n d that a°,c ', write true. nm+l ~ Y" f:-0 for product Recall (p + q - denoted of model ~ p q : S~ + q - 1 to the we m a y veX(Y). *~(a) ~(b) a Whitehead a map corresponding respectively X(X) = x, = y', alterations (~, H,(A(Y),dy), in . 4 of [2] are we may take ± ~ (a) = [~,,~,] = <-~>la'l'lc'lc,a ,. Pq Lemma 5 . 2 . a,,b,,c,, Denote where an e x t e n s i o n whose products. t>2, will ±Wpq:S0P+q-I may be to the AH m o d e l S~ so as with f the recursively put [ao,a 1 ....

The idea of a proof is to verify it for cyclic groups (Theorem 2) and generalized quaternionic groups, and then use a transfer argument to pass from the validity for Sylow subgroups to validity for G. 56 Condition (vii) of Theorem 5 suggests that Conjecture 1 should perhaps be extended to the class of spaces X for which h o m d i m M u . M U . ( X ) < 1. We see no way to attack such a conjecture at the moment. Such a conjecture would be the case n -= 1 of a broader conjecture: There is an isomorphism of graded abelian groups BP.

Whitehead 75(1953), and Serre Proc. and pp. in the 744-752. the Camb. Case Phil. 53-60. "Groupes Whitehead, of d'homotopie Math. et classes 58(1953), pp. tenu & Louvain, groupes 258-294. "The Homology Suspension", Alg@brique, de juin Cotloque de 1956, Masson, 1957. Whitehead, Verlag, P. W. and 2, de facets & s&ries Notes "Loop "On t h e Math. "A C o n n e c t i o n Torsion-Free Paris, of Product", Selick, Soc. 29. C. "Rational pp. Pontrjagin Primes", 698-702. Vol. Quillen, 90(1969), 25. Large without Proceedings Lecture Wilkerson, pp.

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