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 partly 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 integrated during this quantity, usually at a study point. topics comprise cyclic homology, H-spaces, transformation teams, genuine and rational homotopy idea, acyclic manifolds, the homotopy thought of classifying areas, instantons and loop areas, and complicated bordism.

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

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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. (X) "~ BP(n>. (X) ® Z(p)Iv, : i > n] if horn dimz p. BP, (X) <_ n. Here B P ( n ) are the spectra studied in [JW2]. Their characterization that homdimBp. (B P, X ) < n iff v, acts injectively on B P(n>, (Z) seems somewhat close to our conjecture, since in our example X = BZ2 ABZ2 the nontrivial extension on the element in (8,0) in the spectral sequence could have been subsumed by a nontrivial vl action on the element in (6,0).

F'] primes entire compatible together clearly representing Proposition implicit implicit are g: rg,, F the g" a map model + k-IZekrk[~ j,Lil ..... the ~ . = 0, hence J p l a c e in the and and all ~i t ] in 51 Heferences 1. J 2. J 3. D F. pp. "On t h e Adams, Adams a n d 16(1972), 5. J. J. 11. R. 12. H. Felix "Rational J. J. Math. of Serre", Has Torsion pp. Dependence Pure Loop Space and of All 257-262. among Appl. Soc. -M. Alg. Yol. Annals Moore, and Exponents Applications", Manuscr. C. S. and Note "Minimal 225(1977), Moore, Annals Topology Col.

Tells and list us a map q = mt remaining henceforth out and now o u r best built the dl+2 ~(D 0 ) = x i , c' t . J' may be = d I + 1 + ml +'''+ mt-l' m' ' of Lemma 5 . 2 , Then gl has properties. Up t o but of [2] ~] ~l(b) suppose (D O ~t+l SO gl length ~g, (a')eCU$(RW). Pg,,(c') to of dl+2 DO m'+l in w h i c h the over (D O and " ' .... for = r l [ ~ l ' X i l ..... xit ]' ~g,(b') r l [ Y l ' X i l '''''xit]' g" (PI,~I) m'+l, m' g': satisfying t, to from Putting hypothesis [rlal' . ,xit Xll ], ~I(a)~CU,(~W).

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