Notes on Real Analysis and Measure Theory Fine Properties of Real Sets and Functions

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. T...

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Detalles Bibliográficos
Autor Corporativo: SpringerLink (-)
Otros Autores: Kharazishvili, Alexander, autor (autor)
Formato: Libro electrónico
Idioma:Inglés
Publicado: Cham : Springer International Publishing 2022.
Edición:1st ed
Colección:Springer eBooks.
Springer Monographs in Mathematics,
Acceso en línea:Conectar con la versión electrónica
Ver en Universidad de Navarra:https://innopac.unav.es/record=b47143393*spi
Descripción
Sumario: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.
Descripción Física:XI, 253 p.
Formato:Forma de acceso: World Wide Web.