Autorzy | |
Wydawnictwo | Springer, Berlin |
Data wydania | |
Liczba stron | 253 |
Forma publikacji | książka w twardej oprawie |
Język | angielski |
ISBN | 9783031170324 |
Kategorie | Matematyka |
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.
Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions