Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications (closed)) [Hardcover]

A.B. Kharazishvili (Author)

Book Description

ISBN-10: 0792349792 | ISBN-13: 978-0792349792 | Publication Date: March 31, 1998 | Edition: 1

The main goal of this book is to demonstrate the usefulness of set-theoretical methods in various questions of real analysis and classical measure theory. In this context, many statements and facts from analysis are treated as consequences of purely set-theoretical assertions which can successfully be applied to measures and Baire category. Topics covered include similarities and differences between measure and category; constructions of nonmeasurable sets and of sets without the Baire property; three aspects of the measure extension problem; the principle of condensation of singularities from the point of view of the Kuratowski-Ulam theorem; transformation groups and invariant (quasi-invariant) measures; the uniqueness property of an invariant measure; and ordinary differential equations with nonmeasurable right-hand sides. Audience: The material presented in the book is essentially self-contained and is accessible to a wide audience of mathematicians. It will appeal to specialists in set theory, mathematical analysis, measure theory and general topology. It can also be recommended as a textbook for postgraduate students who are interested in the applications of set-theoretical methods to the above-mentioned domains of mathematics.

Editorial Reviews

Review

.....`It is also recommended as a textbook for postgraduate students.' European Mathematical Society News, December 1999

Product Details

• Hardcover: 244 pages
• Publisher: Springer; 1 edition (March 31, 1998)
• Language: English
• ISBN-10: 0792349792
• ISBN-13: 978-0792349792
• Product Dimensions: 9.3 x 6.2 x 0.8 inches
• Shipping Weight: 1.1 pounds (View shipping rates and policies)
• Amazon Best Sellers Rank: #5,236,783 in Books (See Top 100 in Books)

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