with assistance from Robert R. Bruner, Wayne State University, Detroit, MI, and Nicholas Kuhn, University of Virginia, Charlottesville
| eBook ISBN: | 978-0-8218-7861-3 |
| Product Code: | CONM/271.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
with assistance from Robert R. Bruner, Wayne State University, Detroit, MI, and Nicholas Kuhn, University of Virginia, Charlottesville
| eBook ISBN: | 978-0-8218-7861-3 |
| Product Code: | CONM/271.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 271; 2001; 321 ppMSC: 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.
ReadershipGraduate students and research mathematicians interested in algebraic topology.
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Table of Contents
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Articles
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Andrew Baker — On the Adams $E_2$-term for elliptic cohomology [ MR 1831344 ]
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C.-F. Bödigheimer, F. R. Cohen and M. D. Peim — Mapping class groups and function spaces [ MR 1831345 ]
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Robert R. Bruner — Extended powers of manifolds and the Adams spectral sequence [ MR 1831346 ]
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W. G. Dwyer and C. W. Wilkerson — Centers and Coxeter elements [ MR 1831347 ]
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Brayton Gray — On the homotopy type of the loops on a 2-cell complex [ MR 1831348 ]
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J. P. C. Greenlees — Rational $\rm SO(3)$-equivariant cohomology theories [ MR 1831349 ]
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Lars Hesselholt and Ib Madsen — On the $K$-theory of nilpotent endomorphisms [ MR 1831350 ]
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Po Hu — The $\rm Ext^0$-term of the Real-oriented Adams-Novikov spectral sequence [ MR 1831351 ]
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Kenshi Ishiguro — Toral groups and classifying spaces of $p$-compact groups [ MR 1831352 ]
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Nicholas J. Kuhn — Stable splittings and the diagonal [ MR 1831353 ]
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Randy McCarthy — Dual calculus for functors to spectra [ MR 1831354 ]
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Mark Mahowald, Douglas Ravenel and Paul Shick — The triple loop space approach to the telescope conjecture [ MR 1831355 ]
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Michael A. Mandell — Flatness for the $E_\infty $ tensor product [ MR 1831356 ]
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I. Moerdijk — On the Connes-Kreimer construction of Hopf algebras [ MR 1831357 ]
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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.
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 ]
