A Course on Borel Sets

1998
ISBN: 978-0-387-98412-4
Verlag: Springer

Buch, Englisch, 264 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 594 g

Reihe: Graduate Texts in Mathematics

A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc. It is well suited for graduate students exploring areas of mathematics for their research and for mathematicians requiring Borel sets and measurable selections in their work. It contains significant applications to other branches of mathematics and can serve as a self- contained reference accessible by mathematicians in many different disciplines. It is written in an easily understandable style and employs only naive set theory, general topology, analysis, and algebra. A large number of interesting exercises are given throughout the text.

Zielgruppe

Graduate

Autoren/Hrsg.

Srivastava, S. M.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Mathematische Logik
• Mathematik | Informatik Mathematik Topologie Mengentheoretische Topologie
• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

Cardinal and Ordinal Numbers.- Topological Preliminaries.- Standard Borel Spaces.- Analytic and Coanalytic Sets.- Selection and Uniformization Theorems.