Notes on Real Analysis and Measure Theory

Fine Properties of Real Sets and Functions

von Alexander Kharazishvili

253 Seiten, Hardcover

Kurzbeschreibung des Verlags

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.

• Reihe: Springer Monographs in Mathematics
• ISBN: 9783031170324
• Sprache: Englisch
• Erscheinungsdatum: 24.09.2022
• Genre: Mathematik
• Verlag: Springer International Publishing