an:01565334
Zbl 0959.55001
McCleary, John
A user's guide to spectral sequences. 2nd ed
EN
Cambridge Studies in Advanced Mathematics. 58. Cambridge: Cambridge University Press. xv, 561 p. (2001).
00403632
2001
b
55-02 55Txx 57T35 18G40 57T15 55R40 55R20 55Q40 55Q45 55M05 57R19 55U10 17B56 20J05 18F25 18G15 22E41
The first edition of this excellent book has been reviewed in Zbl 0577.55001.
The biggest change in the second edition is the addition of two chapters. The new chapter \(8^{\text{bis}}\) treats non simply-connected spaces, more specificly: nilpotent spaces. The Cartan-Leray spectral sequence and Lyndon-Hochschild-Serre spectral sequences are discussed. The new chapter 10 treats Bockstein spectral sequences in more detail. For a survey of the other chapters refer to the review of the first edition.
Zbl 0577.55001