eBook ISBN:  9780821878552 
Product Code:  CONM/265.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
eBook ISBN:  9780821878552 
Product Code:  CONM/265.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 

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, Ktheory, localization, \(p\)compact groups, and simplicial theory.
ReadershipGraduate students and research mathematicians interested in homotopy theory; algebraic topologists.

Table of Contents

Articles

Carles Casacuberta and Jérôme Scherer — Homological localizations preserve 1connectivity [ 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 — AndréQuillen (co)homology for simplicial algebras over simplicial operads [ MR 1803952 ]

Martin Jakob — An alternative approach to homology [ MR 1803953 ]

JeanLouis 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 AnickGrayTheriault 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 DwyerWilkerson space [ MR 1803957 ]

Paul Arne Østvær — Algebraic $K$theory spectra of nonexceptional tworegular number fields [ MR 1803958 ]

Douglas C. Ravenel — The microstable AdamsNovikov 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 5compact group [ MR 1804681 ]

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, Ktheory, 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 1connectivity [ 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 — AndréQuillen (co)homology for simplicial algebras over simplicial operads [ MR 1803952 ]

Martin Jakob — An alternative approach to homology [ MR 1803953 ]

JeanLouis 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 AnickGrayTheriault 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 DwyerWilkerson space [ MR 1803957 ]

Paul Arne Østvær — Algebraic $K$theory spectra of nonexceptional tworegular number fields [ MR 1803958 ]

Douglas C. Ravenel — The microstable AdamsNovikov 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 5compact group [ MR 1804681 ]

Miguel A. Xicoténcatl — On orbit configuration spaces and the rational cohomology of $F({\bf R}{\rm P}^n,k)$ [ MR 1804682 ]