Table of Contents

Preface
Introduction
Part I – Algebra
1 – An Informal Introduction
2 – What is a Spectral Sequence?
3 – Convergence of Spectral Sequences
Part II – Topology
4 – Topological Background
5 – The Leray-Serre spectral sequence I
6 – The Leray-Serre spectral sequence II
7 – The Eilenberg-Moore Spectral Sequence I
8 – The Eilenberg-Moore Spectral Sequence II
9 – The Adams Spectral Sequence
10 – The Bockstein spectral sequence
Part III – Sins of Omission
11 – More Spectral Sequences in Topology
12 – Spectral sequences in Algebra, Geometry and Analysis

Publisher’s Web Page

The publisher’s web page can be found here.

|| Hardback || Paperback || E-book || Purchase from Amazon ||

Reviews

From reviews of the first edition:

‘McCleary has undertaken and completed a daunting task; few algebraic topologists would have the courage to even try to write a book such as this. The mathematical community is indebted to him for this achievement!’ —Bulletin of the AMS

‘… this guide is a treasure trove …’. — Niew Archief voor Wiskunde