Book:Garrett Birkhoff/Lattice Theory/Second Edition

Garrett Birkhoff: Lattice Theory (2nd Edition)

Published $\text {1948}$, American Mathematical Society

Subject Matter

• Lattice Theory

Contents

FOREWORD ON ALGEBRA

FOREWORD ON TOPOLOGY

CHAPTER I: PARTIALLY ORDERED SETS

CHAPTER II: LATTICES

CHAPTER III: CHAINS AND CHAIN CONDITIONS

CHAPTER IV: COMPLETE LATTICES

CHAPTER V: MODULAR LATTICES

CHAPTER VI: APPLICATIONS TO ALGEBRA

CHAPTER VII: SEMI-MODULAR LATTICES

CHAPTER VIII: COMPLEMENTED MODULAR LATTICES

CHAPTER IX: DISTRIBUTIVE LATTICES

CHAPTER X: BOOLEAN ALGEBRAS

CHAPTER XI: APPLICATIONS TO SET THEORY

CHAPTER XII: APPLICATIONS TO LOGIC AND PROBABILITY

CHAPTER XIII: LATTICE-ORDERED SEMIGROUPS

CHAPTER XIV: LATTICE-ORDERED GROUPS

CHAPTER XV: VECTOR LATTICES

CHAPTER XVI: ERGODIC THEORY

Further Editions

• 1940: Garrett Birkhoff: Lattice Theory
• 1967: Garrett Birkhoff: Lattice Theory (3rd ed.)