Notes on Real Analysis and Measure Theory / Springer Monographs in Mathematics (PDF)
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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.
- Autor: Alexander Kharazishvili
- 2022, 1st ed. 2022, 253 Seiten, Englisch
- Verlag: Springer International Publishing
- ISBN-10: 3031170334
- ISBN-13: 9783031170331
- Erscheinungsdatum: 23.09.2022
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- Grösse: 3.47 MB
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