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A Course on Borel Sets (Graduate Texts in Mathematics)
 
 
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A Course on Borel Sets (Graduate Texts in Mathematics) [Hardcover]

S.M. Srivastava (Author)

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Book Description

0387984127 978-0387984124 April 13, 1998 1
A thorough introduction to Borel sets and measurable selections, acting as a stepping stone to descriptive set theory by presenting such important techniques as universal sets, prewellordering, scales, etc. It contains significant applications to other branches of mathematics and serves as a self-contained reference accessible by mathematicians in many different disciplines. Written in an easily understandable style, and using only naive set theory, general topology, analysis, and algebra, it is thus well suited for graduates exploring areas of mathematics for their research and for those requiring Borel sets and measurable selections in their work.

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Inside This Book (learn more)
First Sentence:
The purpose of this chapter is to provide a quick introduction to some of the basic aspects of the theory of topological vector spaces. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
coanalytic sets, second countable metrizable space, strong measure zero set, coanalytic subsets, completely metrizable space, analytic equivalence relation, polish space, continuous preimages, multiplicative class, projective sets, additive class, descriptive set theory, meager set, metrizable spaces, countable base, countable disjoint unions, selection theorem, ambiguous class, category theorem, monotone class, measure zero sets, countable intersections, dense open sets, converging pointwise, finite disjoint unions
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Effros Borel, Von Neumann, Bn's Borel, Saint Raymond
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