Cardinal Invariants on Boolean Algebras [Paperback]

This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.

Special operations on Boolean algebras.- Special classes of Boolean algebras.- Cellularity.- Depth.- Topological density.- ?-weight.- Length.- Irredundance.- Cardinality.- Independence.- ?-Character.- Tightness.- Spread.- Character.- Hereditary Lindel?f degree.- Hereditary density.- Incomparability.- Hereditary cofinality.- Number of ultrafilters.- Number of automorphisms.- Number of endomorphisms.- Number of ideals.- Number of subalgebras.- Other cardinal functions.- Diagrams.- Examples.

From reviews:

This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists. - Zentralblatt MATH

Covers most of what was known on cardinal invariants in Boolean algebras

List of 97 interesting open problems