| eBook ISBN: | 978-0-8218-7855-2 |
| Product Code: | CONM/265.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
| eBook ISBN: | 978-0-8218-7855-2 |
| Product Code: | CONM/265.E |
| List Price: | $125.00 |
| MAA Member Price: | $112.50 |
| AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 265; 2000; 249 ppMSC: Primary 55; Secondary 00; 13; 18; 19; 20; 57
The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, \(p\)-compact groups, and simplicial theory.
ReadershipGraduate students and research mathematicians interested in homotopy theory; algebraic topologists.
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Table of Contents
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Articles
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Carles Casacuberta and Jérôme Scherer — Homological localizations preserve 1-connectivity [ MR 1803948 ]
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F. R. Cohen and F. P. Peterson — Some free modules over the cohomology of $K(\mathbf {Z}/2\mathbf {Z}, n)$: a short walk in the Alps [ MR 1803949 ]
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Jonathan Cornick and Ian J. Leary — Some remarks concerning degree zero complete cohomology [ MR 1803950 ]
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Emmanuel Dror Farjoun — Two completion towers for generalized homology [ MR 1803951 ]
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Paul G. Goerss and Michael J. Hopkins — André-Quillen (co)-homology for simplicial algebras over simplicial operads [ MR 1803952 ]
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Martin Jakob — An alternative approach to homology [ MR 1803953 ]
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Jean-Louis Loday — Homotopical syzygies [ MR 1803954 ]
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Stephen A. Mitchell — $K$-theory hypercohomology spectra of number rings at the prime 2 [ MR 1803955 ]
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Joseph Neisendorfer — A survey of Anick-Gray-Theriault constructions and applications to the exponent theory of spheres and Moore spaces [ MR 1803956 ]
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Akimou Osse and Ulrich Suter — Invariant theory and the $K$-theory of the Dwyer-Wilkerson space [ MR 1803957 ]
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Paul Arne Østvær — Algebraic $K$-theory spectra of non-exceptional two-regular number fields [ MR 1803958 ]
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Douglas C. Ravenel — The microstable Adams-Novikov spectral sequence [ MR 1803959 ]
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José L. Rodríguez and Dirk Scevenels — Iterating series of localization functors [ MR 1804680 ]
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Antonio Viruel — $E_8$ is a totally $N$-determined 5-compact group [ MR 1804681 ]
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Miguel A. Xicoténcatl — On orbit configuration spaces and the rational cohomology of $F({\bf R}{\rm P}^n,k)$ [ MR 1804682 ]
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The talks given at the Arolla Conference on Algebraic Topology covered a broad spectrum of current research in homotopy theory, offering participants the possibility to sample and relish selected morsels of homotopy theory, much as a participant in a wine tasting partakes of a variety of fine wines. True to the spirit of the conference, the proceedings included in this volume present a savory sampler of homotopical delicacies. Readers will find within these pages a compilation of articles describing current research in the area, including classical stable and unstable homotopy theory, configuration spaces, group cohomology, K-theory, localization, \(p\)-compact groups, and simplicial theory.
Graduate students and research mathematicians interested in homotopy theory; algebraic topologists.
-
Articles
-
Carles Casacuberta and Jérôme Scherer — Homological localizations preserve 1-connectivity [ MR 1803948 ]
-
F. R. Cohen and F. P. Peterson — Some free modules over the cohomology of $K(\mathbf {Z}/2\mathbf {Z}, n)$: a short walk in the Alps [ MR 1803949 ]
-
Jonathan Cornick and Ian J. Leary — Some remarks concerning degree zero complete cohomology [ MR 1803950 ]
-
Emmanuel Dror Farjoun — Two completion towers for generalized homology [ MR 1803951 ]
-
Paul G. Goerss and Michael J. Hopkins — André-Quillen (co)-homology for simplicial algebras over simplicial operads [ MR 1803952 ]
-
Martin Jakob — An alternative approach to homology [ MR 1803953 ]
-
Jean-Louis Loday — Homotopical syzygies [ MR 1803954 ]
-
Stephen A. Mitchell — $K$-theory hypercohomology spectra of number rings at the prime 2 [ MR 1803955 ]
-
Joseph Neisendorfer — A survey of Anick-Gray-Theriault constructions and applications to the exponent theory of spheres and Moore spaces [ MR 1803956 ]
-
Akimou Osse and Ulrich Suter — Invariant theory and the $K$-theory of the Dwyer-Wilkerson space [ MR 1803957 ]
-
Paul Arne Østvær — Algebraic $K$-theory spectra of non-exceptional two-regular number fields [ MR 1803958 ]
-
Douglas C. Ravenel — The microstable Adams-Novikov spectral sequence [ MR 1803959 ]
-
José L. Rodríguez and Dirk Scevenels — Iterating series of localization functors [ MR 1804680 ]
-
Antonio Viruel — $E_8$ is a totally $N$-determined 5-compact group [ MR 1804681 ]
-
Miguel A. Xicoténcatl — On orbit configuration spaces and the rational cohomology of $F({\bf R}{\rm P}^n,k)$ [ MR 1804682 ]
