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Stable homotopy over the Steenrod algebra


About this Title

John H. Palmieri

Publication: Memoirs of the American Mathematical Society
Publication Year 2001: Volume 151, Number 716
ISBNs: 978-0-8218-2668-3 (print); 978-1-4704-0309-6 (online)
DOI: http://dx.doi.org/10.1090/memo/0716
MathSciNet review: 1821838
MSC (2000): Primary 55S10; Secondary 16W30, 55T15, 55U15, 55U35

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Table of Contents


Chapters

  • 0. Preliminaries
  • 1. Stable homotopy over a Hopf algebra
  • 2. Basic properties of the Steenrod algebra
  • 3. Chromatic structure
  • 4. Computing Ext with elements inverted
  • 5. Quillen stratification and nilpotence
  • 6. Periodicity and other applications of the nilpotence theorems