It takes the average reader 5 hours and 20 minutes to read Cardinal Invariants On Boolean Algebras by James Donald Monk
Assuming a reading speed of 250 words per minute. Learn more
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 sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through to simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 97 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) by the same author, the present work is nearly twice the size of the original work. It contains solutions to many of the open problems which are discussed in greater detail than before. Among the new topics considered are ultraproducts and FedorchukA-s theorem, and there is a more complete treatment of the cellularity of free products. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including tree algebras and superatomic algebras. Review: "This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists." - Zentralblatt MATH
Cardinal Invariants On Boolean Algebras by James Donald Monk is 320 pages long, and a total of 80,000 words.
This makes it 108% the length of the average book. It also has 98% more words than the average book.
The average oral reading speed is 183 words per minute. This means it takes 7 hours and 17 minutes to read Cardinal Invariants On Boolean Algebras aloud.
Cardinal Invariants On Boolean Algebras is suitable for students ages 12 and up.
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