@article{1449886, author = {Kharazishvili, A. B.,}, url = {http://library.usi.edu/record/1449886}, title = {Notes on real analysis and measure theory : fine properties of real sets and functions /}, abstract = {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.}, doi = {https://doi.org/10.1007/978-3-031-17033-1}, recid = {1449886}, pages = {1 online resource (xi, 253 pages).}, }