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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
Table of Contents
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Front/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