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Algebraic Topology : Oaxtepec 1991.

By: Material type: TextTextSeries: Contemporary MathematicsPublisher: Providence : American Mathematical Society, 1993Copyright date: ©1993Edition: 1st edDescription: 1 online resource (504 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780821877371
Subject(s): Genre/Form: Additional physical formats: Print version:: Algebraic TopologyDDC classification:
  • 514/.2
LOC classification:
  • QA612 -- .I55 1991eb
Online resources:
Contents:
Intro -- Contents -- Preface -- List of speakers -- List of participants -- Mark Mahowald's work on the homotopy groups of spheres -- Immersions of projective spaces: a historical survey -- Abelian II-algebras and their projective dimension -- Modular representations on the homology of powers of real projective space -- Ext in the nineties -- On the representation theory associated to the cohomology of configuration spaces -- Hopf algebras, Witt vectors, and Brown-Gitler spectra -- v2 periodic homotopy families -- Stable splittings for classifying spaces of alternating, special orthogonal and special unitary groups -- On the homotopy type of configuration complexes -- The ring structure of BoP* -- Projectivity of the Whitehead product in spheres II -- Dihedral homology and homotopy fixed point sets -- ΩSU (n) does not split in 2 suspensions, for n ≥ 3 -- The Adams-Novikov spectral sequence for the L2 localization of a v2 spectrum -- The topology of rational maps to Grassmannians and a homotopy theoretic proof of the Kirwan stability theorem -- Obstructions for a map to be cyclic -- Loop spaces and phantom maps -- K -theory and the homotopy types of some function spaces -- On the double transfer -- Some examples of Hopf Algebras and Tannakian categories -- The Hurewicz homomorphism of the compact exceptional Lie group E6 -- Periodic behavior of ΣCpoo and its applications -- On the orientability of bundles and fibrations: the obstruction theory and applications to K, KO and Morava K-theories -- Hopkins' and Mahowald's picture of Shimomura's v1-Bockstein spectral sequence calculation -- Some remarks on products in Ext -- A relation between K-theory and unstable homotopy groups with 431an application to BA relation between K-theory and unstable homotopy groups with BΣP.
Graded G-sets, symmetric powers of permutation modules, and the cohomology of wreath products -- Nilpotent elements in the Bockstein spectral sequence for BSpin(n) -- Appendix 1: The publications of Mark Mahowald -- Appendix 2: Adams Spectral Sequence chart.
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Intro -- Contents -- Preface -- List of speakers -- List of participants -- Mark Mahowald's work on the homotopy groups of spheres -- Immersions of projective spaces: a historical survey -- Abelian II-algebras and their projective dimension -- Modular representations on the homology of powers of real projective space -- Ext in the nineties -- On the representation theory associated to the cohomology of configuration spaces -- Hopf algebras, Witt vectors, and Brown-Gitler spectra -- v2 periodic homotopy families -- Stable splittings for classifying spaces of alternating, special orthogonal and special unitary groups -- On the homotopy type of configuration complexes -- The ring structure of BoP* -- Projectivity of the Whitehead product in spheres II -- Dihedral homology and homotopy fixed point sets -- ΩSU (n) does not split in 2 suspensions, for n ≥ 3 -- The Adams-Novikov spectral sequence for the L2 localization of a v2 spectrum -- The topology of rational maps to Grassmannians and a homotopy theoretic proof of the Kirwan stability theorem -- Obstructions for a map to be cyclic -- Loop spaces and phantom maps -- K -theory and the homotopy types of some function spaces -- On the double transfer -- Some examples of Hopf Algebras and Tannakian categories -- The Hurewicz homomorphism of the compact exceptional Lie group E6 -- Periodic behavior of ΣCpoo and its applications -- On the orientability of bundles and fibrations: the obstruction theory and applications to K, KO and Morava K-theories -- Hopkins' and Mahowald's picture of Shimomura's v1-Bockstein spectral sequence calculation -- Some remarks on products in Ext -- A relation between K-theory and unstable homotopy groups with 431an application to BA relation between K-theory and unstable homotopy groups with BΣP.

Graded G-sets, symmetric powers of permutation modules, and the cohomology of wreath products -- Nilpotent elements in the Bockstein spectral sequence for BSpin(n) -- Appendix 1: The publications of Mark Mahowald -- Appendix 2: Adams Spectral Sequence chart.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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