Cardinal Invariants on Boolean Algebras Second Revised Edition /

• Main Author: Monk, J. Donald (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Basel : Springer Basel : Imprint: Birkhäuser, 2014.
• Edition: 2nd ed. 2014.
• Series: Progress in Mathematics, 142
• Subjects: Mathematics.; Algebra.; Ordered algebraic structures.; Mathematical logic.; Mathematical Logic and Foundations.; Order, Lattices, Ordered Algebraic Structures.

This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of se...

Table of Contents:

• Introduction
• 1. Special Operations on Boolean Algebras
• 2. Special Classes of Boolean Algebras
• 3. Cellularity
• 4. Depth
• 5. Topological Density
• 6. Pi-Weight
• 7. Length
• 8. Irredundance
• 9. Cardinality
• 10. Independence
• 11. Pi-Character
• 12. Tightness
• 13. Spread
• 14. Character
• 15. Hereditary Lindelöf Degree
• 16. Hereditary Density
• 17. Incomparability
• 18. Hereditary Cofinality
• 19. Number of Ultrafilters
• 20. Number of Automorphisms
• 21. Number of Endomorphisms
• 22. Number of Ideals
• 23. Number of Subalgebras
• 24. Other Cardinal Functions
• 25. Diagrams
• 26. Examples
• 27. Problems
• References
• Symbol Index
• Subject Index
• Name Index.