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- W3021008049 abstract "Publisher SummaryThis chapter discusses the fundamental structure of measure theory, namely, the concept of a measurable space. A ring on X is a collection of subsets of X that is closed under formation of pairwise unions and differences of sets. A set X equipped with a Borel field is called a Borel space and is denoted by the ordered pair. A Borel space is a system, or structure, very much like an algebraic system or a topological space. A measurable space is a σ-ring, where the union of all measurable sets is the entire space. In a measurable space, every point is contained in some measurable set." @default.
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- W3021008049 title "Measure Spaces" @default.
- W3021008049 doi "https://doi.org/10.1016/b978-0-08-018097-7.50016-8" @default.
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