Homotopy Methods in Algebraic Topology
Proceeding of an AMS-IMS-SIAM Joint Summer Research Conference Held at University of Colorado, Boulder, Colorado, June 20-24, 1999
Will be published approx. on 30. April 2001
Book
Paperback/Softback
344 pages
978-0-8218-2621-8 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Weight
652 gr
ISBN-13
978-0-8218-2621-8 (9780821826218)
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Schweitzer Classification
Content
On the Adams E$_2$-term for elliptic cohomology by A. Baker Mapping class groups and function spaces by C.-F. Bodigheimer, F. R. Cohen, and M. D. Peim Extended powers of manifolds and the Adams spectral sequence by R. R. Bruner Centers and Coxeter elements by W. G. Dwyer and C. W. Wilkerson On the homotopy type of the loops on a 2-cell complex by B. Gray Rational $SO(3)$-equivariant cohomology theories by J. P. C. Greenlees On the $K$-theory of nilpotent endomorphisms by L. Hesselholt and I. Madsen The $Ext^0$-term of the real-oriented Adams-Novikov spectral sequence by P. Hu Toral groups and classifying spaces of $p$-compact groups by K. Ishiguro Stable splittings and the diagonal by N. J. Kuhn Dual calculus for functors to spectra by R. McCarthy The triple loop space approach to the telescope conjecture by M. Mahowald, D. Ravenel, and P. Shick Flatness for the $E_\infty$ tensor product by M. A. Mandell On the Connes-Kreimer construction of Hopf algebras by I. Moerdijk.