Contemporary Mathematics 2001; 321 pp; softcover Volume: 271 ISBN10: 0821826212 ISBN13: 9780821826218 List Price: US$91 Member Price: US$72.80 Order Code: CONM/271
 This volume presents the proceedings from the AMSIMSSIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wideranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and realoriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, \(p\)compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the \(E_{\infty}\) tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings. Readership Graduate students and research mathematicians interested in algebraic topology. Table of Contents  A. Baker  On the Adams E\(_2\)term for elliptic cohomology
 C.F. Bödigheimer, F. R. Cohen, and M. D. Peim  Mapping class groups and function spaces
 R. R. Bruner  Extended powers of manifolds and the Adams spectral sequence
 W. G. Dwyer and C. W. Wilkerson  Centers and Coxeter elements
 B. Gray  On the homotopy type of the loops on a 2cell complex
 J. P. C. Greenlees  Rational \(SO(3)\)equivariant cohomology theories
 L. Hesselholt and I. Madsen  On the \(K\)theory of nilpotent endomorphisms
 P. Hu  The \(Ext^0\)term of the realoriented AdamsNovikov spectral sequence
 K. Ishiguro  Toral groups and classifying spaces of \(p\)compact groups
 N. J. Kuhn  Stable splittings and the diagonal
 R. McCarthy  Dual calculus for functors to spectra
 M. Mahowald, D. Ravenel, and P. Shick  The triple loop space approach to the telescope conjecture
 M. A. Mandell  Flatness for the \(E_\infty\) tensor product
 I. Moerdijk  On the ConnesKreimer construction of Hopf algebras
