Algebraic Topology: Proceedings of an International - download pdf or read online

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.

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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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