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

These are lawsuits of a world 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, commonly at a study point. topics contain cyclic homology, H-spaces, transformation teams, actual and rational homotopy conception, acyclic manifolds, the homotopy conception of classifying areas, instantons and loop areas, and complicated bordism.

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**Example text**

Otherwise. (resp. 1. The m a p (~L)i~ for p is to be igp-3 or to isomorphic (~L)j, for j~2p-3. Proof. For symmetric tensor part of a bigraded algebra product of V. V on of the with the vector V Note that from product of e x a c t l y while FV symmetric d in on elements FV. of V but V on on R, let let ~V the ~V be the denote the even-dimensional the o d d - d i m e n s i o n a l extends trigrsded, Let ~kv V, over if p>2 algebra algebra is a c t u a l l y length k space p=2, exterior A differential yV.

1. The m a p (~L)i~ for p is to be igp-3 or to isomorphic (~L)j, for j~2p-3. Proof. For symmetric tensor part of a bigraded algebra product of V. V on of the with the vector V Note that from product of e x a c t l y while FV symmetric d in on elements FV. of V but V on on R, let let ~V the ~V be the denote the even-dimensional the o d d - d i m e n s i o n a l extends trigrsded, Let ~kv V, over if p>2 algebra algebra is a c t u a l l y length k space p=2, exterior A differential yV. if to a d i f f e r e n t i a l the denote and o b s e r v e part third the that grading span ~d coming of p r o d u c t s Fk V (yd)(9kv) IFdl=deg(Fd)=-l.

343-357. Theory", Annals of Math. 205-295. between Amer. J. the Math. of Moore Suspensions", pp. Anna]s Topolo~ie Proc. 81(1965), Exponents", Math. 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.