Notes on Real Analysis and Measure - E-book

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Notes On Real Analysis And Measure Theory - ENG

Fine Properties Of Real Sets And Functions

Alexander Kharazishvili

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Sinopsis

ISBN:	9783031170331
Formato:	Page Fidelity
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Matemáticas
Año de publicación:	2022-09-23

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, Martins axiom, and the continuum hypothesis.

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