A Course on Borel Sets

Cover
Springer Science & Business Media, 13.04.1998 - 264 Seiten
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.
 

Inhalt

Cardinal and Ordinal Numbers
1
Topological Preliminaries
39
Standard Borel Spaces
80
Analytic and Coanalytic Sets
127
The First Separation Theorem
147
Reduction Theorems
171
1
184
References
242
Glossary
250
Index
261
Urheberrecht

Andere Ausgaben - Alle anzeigen

Häufige Begriffe und Wortgruppen

Beliebte Passagen

Seite 244 - Kechris and A. Louveau, Descriptive Set Theory and the Structure of Sets of Uniqueness, London Math. Soc. Lecture Note Ser., 128, Cambridge Univ.

Verweise auf dieses Buch

Bibliografische Informationen