Categorical Decomposition Techniques in Algebraic Topology: International Conference in Algebraic Topology, Isle of Skye, Scotland, June 2001Author: Gregory Arone, John Hubbuck, Ran Levi, Michael Weiss Published by Birkhäuser Basel ISBN: 978-3-0348-9601-6 DOI: 10.1007/978-3-0348-7863-0Table of Contents:The Functor T and the Cohomology of Mapping Spaces On Morava K-theories of an S-arithmetic Group Ext Groups for the Composition of Functors Homotopy Operations and Rational Homotopy Type The Loop Homology Algebra of Spheres and Projective Spaces On Braid Groups, Free Groups, and the Loop Space of the 2-Sphere The K-completion of E The Homotopy of L Spherical Space Forms — Homotopy Types and Self-equivalences The Homotopy Type of Two-regular K-theory Strict Model Structures for Pro-categories L-S Categories of Simply-connected Compact Simple Lie Groups of Low Rank The McCord Model for the Tensor Product of a Space and a Commutative Ring Spectrum Spaces of Multiplicative Maps between Highly Structured Ring Spectra Colimits, Stanley-Reisner Algebras, and Loop Spaces Maps to Spaces in the Genus of Infinite Quaternionic Projective Space, The book consists of articles at the frontier of current research in Algebraic Topology. It presents recent results by top notch experts, and is intended primarily for researchers and graduate students working in the field of algebraic topology. Included is an important article by Cohen, Johnes and Yan on the homology of the space of smooth loops on a manifold M, endowed with the Chas-Sullivan intersection product, as well as an article by Goerss, Henn and Mahowald on stable homotopy groups of spheres, which uses the cutting edge technology of "topological modular forms.", The functor T and the cohomology of mapping spaces -- On Morava K-theories of an S-arithmetic Group -- Ext groups for the composition of functors -- Homotopy operations and rational homotopy type -- The loop homology algebra of spheres and projective spaces -- On braid groups, free groups, and the loop space Of the 2-sphere -- The K-completion of E6 -- The Homotopy of L2V(1) for the Prime 3 -- Spherical Space Forms -- Homotopy Types and Self-Equivalences -- The Homotopy Type of Two-Regular K-Theory -- Strict model structures for pro-categories -- L-s categories of simply-connected compact simple lie groups Of low rank -- The mccord model for the tensor product of a space And a commutative ring spectrum -- Spaces of multiplicative maps between Highly structured ring spectra -- Colimits, stanley-reisner algebras, and loop spaces -- Maps to spaces in the genus of infinite quaternionic Projective space