A set E Rn is said to be of measure zero if and only if given
Question:
a) Prove that if E ⊂ Rn is of volume zero, then E is of measure zero.
b) Prove that if E ⊂ Rn is at most countable, then E is of measure zero.
c) Prove that there is a set E ⊂ R2 of measure zero which does not have zero area and, in fact, is not even a Jordan region.
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