Download Algebraic Topology: Proceedings of an International by I. M. James (auth.), Gunnar Carlsson, Ralph Cohen, Haynes PDF
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, in general at a study point. matters comprise cyclic homology, H-spaces, transformation teams, genuine and rational homotopy thought, acyclic manifolds, the homotopy concept 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
5. L G (b) by play C d(xi)=O L. the with the We w r i t e as an (C,d) to L, we is the graded model Lie for algebra X [10J, topological a central have will one. role in h e l p i n g each zero" then an a d d i t i o n a l become Lx component is the a major x. have 1 readily We see R the we of "degree grading theme degree zero A=H,(C,d), zero" have is a field. "degree "degree also zero" one" Then and the component z[S(z)(1 z - z ieI Decomposition In S e c t i o n We will Theorem 3 we will then state ~ A A is g e n e r a t e d one" has components Hilbert as of series d.
K) in terms of indices of vector bundle monomorphisms with finite singularities and use it to derive some immersions of projective spaces in Euclidean space. We also consider the representability of the stable homotopy of spheres by immersed projective spaces. The singularity method developed extensively by Koschorke relates the indices of vector bundle monomorphisms with filaite singularities over manifolds to the normal bordism obstruction to the existence of a vector bundle monomorphism. 5 of this paper present not merely alternative proofs for results in , but also make important identifications with equivariant maps for applications of the singularity method to the immersion problem for projective spaces.
In an earlier version of this paper, we gave a rather computational proof of THEOREM 2. Conjecture 1 is true ifG is a cyclic group. After submitting the paper, we discovered that the bulk of our work had been done much earlier by FIynn. ([F D Indeed, a comparison of his result for the graded abelian group structure of MU. (BZ/p ~) with that of [H] for ku. (BZ/p ~) establishes Theorem 2. Although a nice generator-and-relation description of these groups is well-known (see (3) below), the explicit abelian group structure is rather complicated.