User's Guide to Spectral Sequences

by John McCleary

Table of Contents


Front Matter: Preface/Introduction/Table of Contents

ALGEBRA

Chapter 1: An Informal Introduction 3-27

Chapter 2: What is a spectral sequence? 28-60

Chapter 3: Convergence of spectral sequences 61-88

TOPOLOGY

Chapter 4: Topological background 91-132

Chapter 5: The Leray-Serre spectral sequence I 133-179

Chapter 6: The Leray-Serre spectral sequence II 180-231

Chapter 7: The Eilenberg-Moore spectral sequence I 232-272

Chapter 8: The Eilenberg-Moore spectral sequence II 273-328

Chapter 8bis: Nontrivial fundamental groups 329-365

Chapter 9: The Adams spectral sequence 366-454

Chapter 10: The Bockstein spectral sequence 454-484

SINS OF OMISSION

Chapter 11: More spectral sequences in topology 454-484

Chapter 12: Spectral sequences in Algebra, Geometry and Analysis 454-484

Bibliography: Cited References 525

Symbol index: 553

Index 555