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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)
DOI: https://doi.org/10.1090/memo/0317
MathSciNet review: 776177
MSC: Primary 55T05; Secondary 18G40, 55T10
Table of Contents
Chapters
- 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