AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution

Lattice Theory

About this Title

Garrett Birkhoff

Publication: Colloquium Publications
Publication Year: 1940; Volume 25
ISBNs: 978-0-8218-1025-5 (print); 978-1-4704-3173-0 (online)
DOI: https://doi.org/10.1090/coll/025
MathSciNet review: MR0029876
MSC: Primary 09.1X

View full volume as PDF

Read more about this volume

Table of Contents

Download chapters as PDF

Front/Back Matter

• View this volume's front and back matter

Chapters

• Chapter 1. Types of lattices
• Chapter 2. Postulates for lattices
• Chapter 3. Structure and representation theory
• Chapter 4. Geometric lattices
• Chapter 5. Complete lattices
• Chapter 6. Universal algebra
• Chapter 7. Applications to algebra
• Chapter 8. Transfinite induction
• Chapter 9. Applications to general topology
• Chapter 10. Metric and topological lattices
• Chapter 11. Borel algebras and von Neumann lattices
• Chapter 12. Applications to logic and probability
• Chapter 13. Lattice-ordered groups
• Chapter 14. Lattice-ordered monoids
• Chapter 15. Vector lattices
• Chapter 16. Positive linear operators
• Chapter 17. Lattice-ordered rings