Contemporary Mathematics 2000; 249 pp; softcover Volume: 265 ISBN10: 0821820788 ISBN13: 9780821820780 List Price: US$80 Member Price: US$64 Order Code: CONM/265
 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, Ktheory, 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 1connectivity
 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  AndréQuillen (co)homology for simplicial algebras over simplicial operads
 M. Jakob  An alternative approach to homology
 J.L. Loday  Homotopical Syzygies
 S. A. Mitchell  Ktheory hypercohomology spectra of number rings at the prime 2
 J. Neisendorfer  A survey of AnickGrayTheriault constructions and applications to the exponent theory of spheres and Moore spaces
 A. Osse and U. Suter  Invariant theory and the Ktheory of the DwyerWilkerson space
 P. A. Østvær  Algebraic Ktheory spectra of nonexceptional tworegular number fields
 D. C. Ravenel  The microstable AdamsNovikov spectral sequence
 J. L. Rodríguez and D. Scevenels  Iterating series of localization functors
 A. Viruel  \(E_8\) is a totally \(N\)determined 5compact group
 M. A. Xicoténcatl  On orbit configuration spaces and the rational cohomology of \(F(\mathbb{R}P^n,K)\)
