Cardinal Functions of Boolean Algebras (Lectures in Mathematics/Eth Zurich)

The study of cardinal functions brings unity and depth to many investigations in the theory of Boolean algebras. Many of the functions have proved their importance in related fields in set theory or topology. For the most important examples three general questions are considered: What is the relationship between various cardinal functions? How do they behave with respect to algebraic operations? What can one say about other cardinal functions naturally derived from a given one? These notes provide a comprehensive survey of this area and include proofs for a large number of results.