A Course on Borel Sets

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Springer Science & Business Media, 13 apr 1998 - 264 pagine
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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.

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Cardinal and Ordinal Numbers
Topological Preliminaries
Standard Borel Spaces 81
Analytic and Coanalytic Sets
Selection and Uniformization Theorems
Glossary 251

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

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