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Spectral sequence constructors in algebra and topology

About this Title

D. W. Barnes

Publication: Memoirs of the American Mathematical Society
Publication Year 1985: Volume 53, Number 317
ISBNs: 978-0-8218-2319-4 (print); 978-1-4704-0730-8 (online)
MathSciNet review: 776177
MSC: Primary 55T05; Secondary 18G40, 55T10

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Table of Contents


  • I. Modules over Hope algebras
  • II. Cup products
  • III. Spectral sequence constructors
  • IV. Filtrations on the normalised standard complex
  • V. Double projective resolutions
  • VI. Pair of resolutions
  • VII. Repeated injective resolutions
  • VIII. Explicit equivalences
  • IX. Acyclic models
  • X. Cofree functors
  • XI. Local coefficients
  • XII. The spectral sequence of a fibration
  • XIII. Uniqueness of the fibration spectral sequence
  • XIV. Sheaf cohomology
  • Appendix. Lifting functions

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