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.


In the following section we use the convention that \,X is a set and \mathcal{P}(X) is its power set.

Usually if \mathcal{C} is a subset of \mathcal{P}(X) it'll be referred as class.