The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, \(p\)-compact groups, and simplicial theory.

Readership

Graduate students and research mathematicians interested in homotopy theory; algebraic topologists.

Table of Contents

• C. Casacuberta and J. Scherer -- Homological localizations preserve 1-connectivity
• F. R. Cohen and F. P. Peterson -- Some free modules over the cohomology of \(K(Z/2Z,n)\): A short walk in the Alps
• J. Cornick and I. J. Leary -- Some remarks concerning degree zero complete cohomology
• E. D. Farjoun -- Two completion towers for generalized homology
• P. G. Goerss and M. J. Hopkins -- André-Quillen (co-)homology for simplicial algebras over simplicial operads
• M. Jakob -- An alternative approach to homology
• J.-L. Loday -- Homotopical Syzygies
• S. A. Mitchell -- K-theory hypercohomology spectra of number rings at the prime 2
• J. Neisendorfer -- A survey of Anick-Gray-Theriault constructions and applications to the exponent theory of spheres and Moore spaces
• A. Osse and U. Suter -- Invariant theory and the K-theory of the Dwyer-Wilkerson space
• P. A. Østvær -- Algebraic K-theory spectra of non-exceptional two-regular number fields
• D. C. Ravenel -- The microstable Adams-Novikov spectral sequence
• J. L. Rodríguez and D. Scevenels -- Iterating series of localization functors
• A. Viruel -- \(E_8\) is a totally \(N\)-determined 5-compact group
• M. A. Xicoténcatl -- On orbit configuration spaces and the rational cohomology of \(F(\mathbb{R}P^n,K)\)