Read Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429)

Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429)

Alexander Kharazishvili

4.9/5 (16525 ratings)

Description: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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429). To get started finding Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Pages: —

Format: PDF, EPUB & Kindle Edition

Publisher: —

Release: —

ISBN: 0792349792

Description: 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.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429). To get started finding Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

Special Offer | $0.00

Special Offer! | $0.00

Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429)

Applications of Point Set Theory in Real Analysis (Mathematics and Its Applications, 429)

More Books

Nonmeasurable Sets and Functions. North-Holland Mathematics Studies, Volume 195.

Nonmeasurable Sets and Functions. North-Holland Mathematics Studies, Volume 195.

Topics in Measure Theory and Real Analysis: The Measure Extension Problem and Related Questions (Atlantis Studies in Mathematics) by Alexander Kharazishvili (2009-11-10)

Topics in Measure Theory and Real Analysis: The Measure Extension Problem and Related Questions (Atlantis Studies in Mathematics) by Alexander Kharazishvili (2009-11-10)

Set Theoretical Aspects of Real Analysis (Monographs and Research Notes in Mathematics) by Alexander B. Kharazishvili (2014-08-21)

Set Theoretical Aspects of Real Analysis (Monographs and Research Notes in Mathematics) by Alexander B. Kharazishvili (2014-08-21)

Set Theoretical Aspects of Real Analysis (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Set Theoretical Aspects of Real Analysis (Chapman & Hall/CRC Monographs and Research Notes in Mathematics)

Strange Functions in Real Analysis. Pure and Applied Mathematics

Strange Functions in Real Analysis. Pure and Applied Mathematics

TRANSFORMATION GROUPS AND INVARIANT MEASURES: SET-THEORETICAL ASPECTS

TRANSFORMATION GROUPS AND INVARIANT MEASURES: SET-THEORETICAL ASPECTS

Strange Functions in Real Analysis

Strange Functions in Real Analysis

Introduction to Combinatorial Methods in Geometry

Introduction to Combinatorial Methods in Geometry

Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions (Springer Monographs in Mathematics)

Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions (Springer Monographs in Mathematics)