Algebraic topology: proceedings of an international conference held in Arcata, California, July 27-August 2, 1986
These are proceedings of an International Conference on Algebraic Topology, held 28 July through 1 August, 1986, at Arcata, California. The conference served in part to mark the 25th anniversary of the journal Topology and 60th birthday of Edgar H. Brown. It preceded ICM 86 in Berkeley, and was conceived as a successor to the Aarhus conferences of 1978 and 1982. Some thirty papers are included in this volume, mostly at a research level. Subjects include cyclic homology, H-spaces, transformation groups, real and rational homotopy theory, acyclic manifolds, the homotopy theory of classifying spaces, instantons and loop spaces, and complex bordism.
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Past Present and Future
Adem A Homology Representations of Finite
On the Complex Bordism of Classifying
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ab/L abelian group action Amer associated bigraded bordism chain chain complex classes cofibrations commutative diagram compact composition conjecture connected construction Corollary CW complex cyclic decomposition define Definition degree denote differential dimension dimensional element equivariant equivariant map exact sequence example extends factors fibration filtration finite group fixed point follows formula functor geometric given graded H-space hence homology homomorphism homotopy equivalence homotopy groups homotopy theory homotopy type Hopf algebra inclusion induces instantons integer invariant isomorphism K-theory Lemma Let G Lie algebra Lie group loop spaces manifold map f Math module morphisms non-trivial obtain operad p-group pair Poincare prime problem projective spaces proof of Theorem Proposition prove R-module Remark resp ring satisfying simplicial sets spectra spectral sequence spectrum spheres splitting stable homotopy Steenrod algebra structure subgroup Suppose surgery obstruction surjection suspension Topology trivial two-cone University vector bundle weak equivalence Whitehead product