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Více informací o knize Applications of Point Set Theory in Real Analysis

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Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Mathematical foundations

• Plný název: Applications of Point Set Theory in Real Analysis
• Autor: A. B. Kharazishvili
• Jazyk: Angličtina
• Vazba: Pevná
• Počet stran: 240
• EAN: 9780792349792
• ISBN: 0792349792
• ID: 01395643
• Nakladatelství: Springer Netherlands
• Hmotnost: 535 g
• Rozměry: 240 × 160 × 15 mm
• Rok vydání: 1998

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