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Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions. 2022 ed..
・ISBN 978-3-031-17032-4 hard EUR 99.99
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| 著者・編者 | Kharazishvili, Alexander, |
|---|---|
| シリーズ | Springer Monographs in Mathematics |
| 出版社 | (Springer International Publishing AG, SZ) |
| 出版年月 | 2022 |
| ページ数 | 253 pp. |
| 言語 | ENG |
| ニュース番号 | <M25-14527> |
解説
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.