User's Guide to Spectral Sequences

by John McCleary

Table of Contents


Front Matter Preface/Introduction 3-27

ALGEBRA

Chapter 1: An Informal Introduction 3-27

Chapter 2: What is a spectral sequence? 28-61

Chapter 3: Convergence of spectral sequences 62-90

TOPOLOGY

Chapter 4: Topological background 93-134

Chapter 5: The Leray-Serre spectral sequence I 135-181

Chapter 6: The Leray-Serre spectral sequence II 182-233

Chapter 7: The Eilenberg-Moore spectral sequence I 234-274

Chapter 8: The Eilenberg-Moore spectral sequence II 275-328

Chapter 8bis: Nontrivial fundamental groups 329-364

Chapter 9: The Adams spectral sequence 365-453

Chapter 10: The Bockstein spectral sequence 454-483