Notes on Real Analysis and Measure Theory : Fine Properties of Real Sets and Functions PDF
by Alexander Kharazishvili
Part of the Springer Monographs in Mathematics series
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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.
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- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:23/09/2022
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- ISBN:9783031170331
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Information
-
Download Now
- Format:PDF
- Publisher:Springer International Publishing
- Publication Date:23/09/2022
- Category:
- ISBN:9783031170331