Abstract
In this chapter we introduce measurable sets and measurable functions. As explained in the introduction, the objects we operate with are mainly systems of sets, and not individual sets. In doing so, there will arise finite as well as infinite sequences of sets. In both cases and, regardless of their length, we denote such sequences as \( {\mathrm{A}}_1,{\mathrm{A}}_2,\dots \), their union as \( {\displaystyle \bigcup_{\mathrm{n}\ge 1}}{\mathrm{A}}_{\mathrm{n}} \), and so on.
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Brokate, M., Kersting, G. (2015). Measurability. In: Measure and Integral. Compact Textbooks in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-15365-0_2
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DOI: https://doi.org/10.1007/978-3-319-15365-0_2
Publisher Name: Birkhäuser, Cham
Print ISBN: 978-3-319-15364-3
Online ISBN: 978-3-319-15365-0
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