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. 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.
Categorias:
Ano:
2022
Editora:
Springer
Idioma:
english
Páginas:
256
ISBN 10:
3031170326
ISBN 13:
9783031170324
Arquivo:
PDF, 3.46 MB
IPFS:
,
english, 2022
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