Titolo: Notes on Real Analysis and Measure Theory: Fine Properties of Real Sets and Functions (Springer Monographs in Mathematics)
Editore: Springer
Data di pubblicazione: 2022
Lingua: Inglese
ISBN 10: 3031170326
ISBN 13: 9783031170324
Rilegatura: Rilegato
Condizione: New

Descrizione articolo

Riassunto

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.

Informazioni sull?autore

Alexander Kharazishvili is a Professor of Mathematics at I. Chavachavadze Tibilisi State University in Georgia. An expert in classical Real Analysis in the tradition of the Lusin school, he is the author of the well known monograph Strange Functions in Real Analysis.

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