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411 REFERENCE · Wikibooks

Measure Theory/Basic Structures And Definitions

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In this chapter, we will introduce the basic ideas of Borel sets, measure spaces, measures and measurable functions. Conventions In the following section we use the convention that is a set and is its power set. Usually if is a subset of it'll be referred as class. Sections 1.1 Semialgebras, Algebras and σ-algebras 1.2 Measures 1.3 Measurable Functions