Book:Garrett Birkhoff/Lattice Theory/Second Edition

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