(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that there exists measurable functions f_n defined on some measure subspace, st f_n-> f a.e. but such that f is not measurable.

2. Relevant equations

Converges a.e. means that converges everywhere except on a set of measure zero.

3. The attempt at a solution

Need to construct a measure space in which some subset of a measurable set of measure zero is not measurable. However, such measure space is not compelte.

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# Homework Help: Real Analysis! HELP!

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