How Long to Read Cardinal Invariants on Boolean Algebras

How Long Does it Take to Read Cardinal Invariants on Boolean Algebras?

It takes the average reader 9 hours and 39 minutes to read Cardinal Invariants on Boolean Algebras by J. Donald Monk

Assuming a reading speed of 250 words per minute. Learn more

Description

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 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 185 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) and Cardinal Invariants on Boolean Algebras (1996) by the same author, the present work is much larger than either of these. It contains solutions to many of the open problems of the earlier volumes. Among the new topics are continuum cardinals on Boolean algebras, with a lengthy treatment of the reaping number. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including interval algebras, tree algebras and superatomic algebras.

How long is Cardinal Invariants on Boolean Algebras?

Cardinal Invariants on Boolean Algebras by J. Donald Monk is 573 pages long, and a total of 144,969 words.

This makes it 193% the length of the average book. It also has 177% more words than the average book.

How Long Does it Take to Read Cardinal Invariants on Boolean Algebras Aloud?

The average oral reading speed is 183 words per minute. This means it takes 13 hours and 12 minutes to read Cardinal Invariants on Boolean Algebras aloud.

What Reading Level is Cardinal Invariants on Boolean Algebras?

Cardinal Invariants on Boolean Algebras is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Cardinal Invariants on Boolean Algebras?

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