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Homotopy Methods in Algebraic Topology
Edited by: J. P. C. Greenlees, University of Sheffield, UK
with assistance from Robert R. Bruner, Wayne State University, Detroit, MI, and Nicholas Kuhn, University of Virginia, Charlottesville
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Contemporary Mathematics
2001; 321 pp; softcover
Volume: 271
ISBN-10: 0-8218-2621-2
ISBN-13: 978-0-8218-2621-8
List Price: US$91
Member Price: US$72.80
Order Code: CONM/271
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This volume presents the proceedings from the AMS-IMS-SIAM 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 wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented 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 2-cell 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 real-oriented Adams-Novikov 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 Connes-Kreimer construction of Hopf algebras
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