Springer Monographs in Mathematics: Fine Properties of Real Sets and Functions

Kharazishvili, Alexander

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.

Details

Published by: Springer

Publication Date: 2022-09-24

Format: Hardcover

ISBN-13: 9783031170324

DOI: 10.1007/978-3-031-17033-1

Dimensions: 235cm x155cm

Pages: 253