I'm working with caratheodory's definition of measurability of sets as given in Royden. I'm trying to prove that given any measurable set E we have that E+y={x+y|where x is contained in E} is also measurable. I'm looking for a hint not the entire solution please.(adsbygoogle = window.adsbygoogle || []).push({});

I think I've actually done this problem before in my real analysis class and i remember there being a 'special set' (the silver bullet) that relates E with E+y through operations allowed in sigma algebras...i could be wrong

thanks for any help, again no solutions just hints please.

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# If E is measurable then so it's each of it's translates

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