Customer Reviews

Measure and Category: A Survey of the Analogies between Topological and Measure Spaces (Graduate Texts in Mathematics)

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This is a book first published in the 70's and it has the advantage of being easy reading and short. It presents to the student with little background (a course of real analysis or calculus is all that is required, together with some familiarity with set theoretic reasoning) some of the classical and powerful results of measure and set theory and analysis in an elegant and modern way. It explores in a diversity of ways the analogies of measure and category and the uses of Baire and Borel's theorems. I believe it is one of the best introductions of measure theory that can be found in the literature.

This short book is an interesting account of measure theory and how it relates to topology. The topics are the standard ones that one would find in a book on the subject, and the book is a real pleasure to read. Its length motivates one to finish the book and the book is very applicable to the theory of dynamical systems and the theory of large deviations. It could be used as a textbook on measure theory or foundations of analysis if one supplemented it with problem sets and some outside reading. A good book.