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Homotopy Methods in Algebraic Topology
 
Edited by: J. P. C. Greenlees University of Sheffield, Sheffield, UK
Robert R. Bruner Wayne State University, Detroit, MI
Nicholas Kuhn University of Virginia, Charlottesville, VA
with assistance from Robert R. Bruner, Wayne State University, Detroit, MI, and Nicholas Kuhn, University of Virginia, Charlottesville
Front Cover for Homotopy Methods in Algebraic Topology
Available Formats:
Softcover ISBN: 978-0-8218-2621-8
Product Code: CONM/271
List Price: $102.00
MAA Member Price: $91.80
AMS Member Price: $81.60
Electronic ISBN: 978-0-8218-7861-3
Product Code: CONM/271.E
List Price: $96.00
MAA Member Price: $86.40
AMS Member Price: $76.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00
MAA Member Price: $137.70
AMS Member Price: $122.40
Front Cover for Homotopy Methods in Algebraic Topology
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  • Front Cover for Homotopy Methods in Algebraic Topology
  • Back Cover for Homotopy Methods in Algebraic Topology
Homotopy Methods in Algebraic Topology
Edited by: J. P. C. Greenlees University of Sheffield, Sheffield, UK
Robert R. Bruner Wayne State University, Detroit, MI
Nicholas Kuhn University of Virginia, Charlottesville, VA
with assistance from Robert R. Bruner, Wayne State University, Detroit, MI, and Nicholas Kuhn, University of Virginia, Charlottesville
Available Formats:
Softcover ISBN:  978-0-8218-2621-8
Product Code:  CONM/271
List Price: $102.00
MAA Member Price: $91.80
AMS Member Price: $81.60
Electronic ISBN:  978-0-8218-7861-3
Product Code:  CONM/271.E
List Price: $96.00
MAA Member Price: $86.40
AMS Member Price: $76.80
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $153.00
MAA Member Price: $137.70
AMS Member Price: $122.40
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 2712001; 321 pp
    MSC: Primary 55;

    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
     
     
    • Articles
    • Andrew Baker - On the Adams $E_2$-term for elliptic cohomology [ MR 1831344 ]
    • C.-F. Bödigheimer, F. R. Cohen and M. D. Peim - Mapping class groups and function spaces [ MR 1831345 ]
    • Robert R. Bruner - Extended powers of manifolds and the Adams spectral sequence [ MR 1831346 ]
    • W. G. Dwyer and C. W. Wilkerson - Centers and Coxeter elements [ MR 1831347 ]
    • Brayton Gray - On the homotopy type of the loops on a 2-cell complex [ MR 1831348 ]
    • J. P. C. Greenlees - Rational $\rm SO(3)$-equivariant cohomology theories [ MR 1831349 ]
    • Lars Hesselholt and Ib Madsen - On the $K$-theory of nilpotent endomorphisms [ MR 1831350 ]
    • Po Hu - The $\rm Ext^0$-term of the Real-oriented Adams-Novikov spectral sequence [ MR 1831351 ]
    • Kenshi Ishiguro - Toral groups and classifying spaces of $p$-compact groups [ MR 1831352 ]
    • Nicholas J. Kuhn - Stable splittings and the diagonal [ MR 1831353 ]
    • Randy McCarthy - Dual calculus for functors to spectra [ MR 1831354 ]
    • Mark Mahowald, Douglas Ravenel and Paul Shick - The triple loop space approach to the telescope conjecture [ MR 1831355 ]
    • Michael A. Mandell - Flatness for the $E_\infty $ tensor product [ MR 1831356 ]
    • I. Moerdijk - On the Connes-Kreimer construction of Hopf algebras [ MR 1831357 ]
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Volume: 2712001; 321 pp
MSC: Primary 55;

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.

  • Articles
  • Andrew Baker - On the Adams $E_2$-term for elliptic cohomology [ MR 1831344 ]
  • C.-F. Bödigheimer, F. R. Cohen and M. D. Peim - Mapping class groups and function spaces [ MR 1831345 ]
  • Robert R. Bruner - Extended powers of manifolds and the Adams spectral sequence [ MR 1831346 ]
  • W. G. Dwyer and C. W. Wilkerson - Centers and Coxeter elements [ MR 1831347 ]
  • Brayton Gray - On the homotopy type of the loops on a 2-cell complex [ MR 1831348 ]
  • J. P. C. Greenlees - Rational $\rm SO(3)$-equivariant cohomology theories [ MR 1831349 ]
  • Lars Hesselholt and Ib Madsen - On the $K$-theory of nilpotent endomorphisms [ MR 1831350 ]
  • Po Hu - The $\rm Ext^0$-term of the Real-oriented Adams-Novikov spectral sequence [ MR 1831351 ]
  • Kenshi Ishiguro - Toral groups and classifying spaces of $p$-compact groups [ MR 1831352 ]
  • Nicholas J. Kuhn - Stable splittings and the diagonal [ MR 1831353 ]
  • Randy McCarthy - Dual calculus for functors to spectra [ MR 1831354 ]
  • Mark Mahowald, Douglas Ravenel and Paul Shick - The triple loop space approach to the telescope conjecture [ MR 1831355 ]
  • Michael A. Mandell - Flatness for the $E_\infty $ tensor product [ MR 1831356 ]
  • I. Moerdijk - On the Connes-Kreimer construction of Hopf algebras [ MR 1831357 ]
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