Notes On Real Analysis And Measure Theory: Fine Properties Of Real Sets And Functions (Springer Monographs In Mathematics) - 9783031170355

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.

• | Author: Alexander Kharazishvili
• | Publisher: Springer
• | Publication Date: Sep 25, 2023
• | Number of Pages: 264 pages
• | Language: English
• | Binding: Paperback
• | ISBN-10: 3031170350
• | ISBN-13: 9783031170355