Notes on real analysis and measure theory : fine properties of real sets and functions / Alexander Kharazishvili.

This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. T...

Full description

Saved in:
Bibliographic Details
Main Author: Kharazishvili, A. B. (Author)
Format: eBook
Language:English
Published: Cham : Springer, [2022]
Series:Springer monographs in mathematics.
Subjects:
Online Access:Click for online access
Description
Summary:This monograph gives the reader an up-to-date account of the fine properties of real-valued functions and measures. The unifying theme of the book is the notion of nonmeasurability, from which one gets a full understanding of the structure of the subsets of the real line and the maps between them. The material covered in this book will be of interest to a wide audience of mathematicians, particularly to those working in the realm of real analysis, general topology, and probability theory. Set theorists interested in the foundations of real analysis will find a detailed discussion about the relationship between certain properties of the real numbers and the ZFC axioms, Martin's axiom, and the continuum hypothesis.
Physical Description:1 online resource (xi, 253 pages).
Bibliography:Includes bibliographical references and index.
ISBN:9783031170331
3031170334
ISSN:2196-9922
Source of Description, Etc. Note:Online resource; title from PDF title page (SpringerLink, viewed September 28, 2022).