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Smallest Sigma Algebra .... Axler, Example 2.28 ....
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[QUOTE="Math Amateur, post: 6375516, member: 203675"] [B]TL;DR Summary:[/B] I need help in order to make a meaningful start on verifying the first part of Axler, Example 28 ... I am reading Sheldon Axler's book: Measure, Integration & Real Analysis ... and I am focused on Chapter 2: Measures ... I need help in order to make a meaningful start on verifying the first part of Axler, Example 28 ... The relevant text reads as follows:[ATTACH type="full"]267261[/ATTACH]Can someone please help me to make a meaningful start on verifying Example 2,28 ... that is, to show that the smallest ##\sigma##-algebra on ##X## containing ##\mathcal{A}## is the set of all subsets ##E## of ##X## such that ##E## is countable or ##X \setminus E## is countable ... ... Help will be much appreciated ... Peter [/QUOTE]
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Smallest Sigma Algebra .... Axler, Example 2.28 ....
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