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.
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.
Covers most of what was known on cardinal invariants in Boolean algebras
List of 97 interesting open problems
J. Donald Monk
Boolean algebra Cardinal functions Cellularity Fedorchukís theorem Logic Ultraproduct forcing proof set theory
From reviews:
"This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists." - Zentralblatt MATH