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Book DetailsContemporary MathematicsVolume: 271; 2001; 321 ppMSC: Primary 55;
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.
ReadershipGraduate 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 2cell 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 Realoriented AdamsNovikov 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 ConnesKreimer construction of Hopf algebras [ MR 1831357 ]


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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.
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 2cell 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 Realoriented AdamsNovikov 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 ConnesKreimer construction of Hopf algebras [ MR 1831357 ]