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- 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:

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

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:

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