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

ISBN-10: 3540461604

ISBN-13: 9783540461609

ISBN-10: 3540511180

ISBN-13: 9783540511182

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 was once conceived as a successor to the Aarhus meetings of 1978 and 1982. a few thirty papers are incorporated during this quantity, in general at a learn point. matters contain cyclic homology, H-spaces, transformation teams, actual and rational homotopy concept, acyclic manifolds, the homotopy conception of classifying areas, instantons and loop areas, and intricate bordism.

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

**Example text**

R, been map Since primes, ~=o(~)e~,(~W)®R, by a t t a c h i n g have invertible A Let maps over the r k. attaching attaching implicit to , O1 O1 is an is i n d e x e d Ly by an , we are two-cone. is, there R-homotopy R-basis retract for the done. Then exists the weak a finite Moore set P 35 of primes has (dependent an exponent Proof. Consider separately. consist no . 4, perhaps at peP , X is elliptic. 5 in X Moore's of the whose X implicit does The natural [15] to L X. 6, the In away bring R will be viewed to have an additional The dimension new of original deg(x).

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 .... also use this notation for = a'. f(b) A p p l y Lemma 5 . f(a) Proof. c' of AH model the p q X = SovSo, result for to repeated p+l q Y = DO vS O. and repeated Whitehead brackets. ,at_l],at]. We a repeated Samelson or Whitehead product. 3. +l V S01 iel for the composition CU,(Rg)°~f be a w e d g e gof may h e + ~gOyf.

Projective dimension and Brown-Peterson homology, Topology 12 (1973), 327-353. L. P. S. Landweber, Complex bordism of classifying spaces, Proc. Amer. Math. Soc. 27 (1971), 175-179. Q. D. G. Quillen, On the formal groups laws of unoriented and oriented cobordism, Bull. Amer. Math. Soc. 75 (1969), 1293-1298. W. J. A. Wolf, "Spaces of constant curvature," McGraw-Hill, 1967. Rider College, Lawrenceville, NJ 08648 Lehigh University, Bethlehem, Pa. 18015 ON EQUIVARIANT MAPS AND IMMERSIONS OF REAL PROJECTIVE SPACES by A.

### Algebraic Topology: Proceedings of an International Conference held in Arcata, California, July 27 – August 2, 1986 by I. M. James (auth.), Gunnar Carlsson, Ralph Cohen, Haynes Miller, Douglas Ravenel (eds.)

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