Book:Garrett Birkhoff/Lattice Theory/Third Edition

Garrett Birkhoff: Lattice Theory (3rd Edition)

Published $\text {1967}$, American Mathematical Society

ISBN 0-8218-1025-1

Subject Matter

• Lattice Theory

Contents

CHAPTER I: TYPES OF LATTICES

CHAPTER II: POSTULATES FOR LATTICES

CHAPTER III: STRUCTURE AND REPRESENTATION THEORY

CHAPTER IV: GEOMETRIC LATTICES

CHAPTER V: COMPLETE LATTICES

CHAPTER VI: UNIVERSAL ALGEBRA

CHAPTER VII: APPLICATIONS TO ALGEBRA

CHAPTER IX: APPLICATIONS TO GENERAL TOPOLOGY

CHAPTER X: METRIC AND TOPOLOGICAL LATTICES

CHAPTER XI: BOREL ALGEBRAS AND VON NEUMANN LATTICES

CHAPTER XII: APPLICATIONS TO LOGIC AND PROBABILITY

CHAPTER XIII: LATTICE-ORDERED GROUPS

CHAPTER XIV: LATTICE-ORDERED MONOIDS

CHAPTER XV: VECTOR LATTICES

CHAPTER XVI: POSITIVE LINEAR OPERATORS

CHAPTER XVII: LATTICE-ORDERED RINGS

BIBLIOGRAPHY

ADDITIONAL REFERENCES

INDEX

Further Editions

• 1940: Garrett Birkhoff: Lattice Theory
• 1948: Garrett Birkhoff: Lattice Theory (2nd ed.)