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    Is every set of small measure contained in an open set of small measure with null boundary?
                Let $\lambda( \cdot )$ denote Lebesgue measure on $[0,1]$. Let $(A_n)_{n=1}^\infty$ be a decreasing sequence of Borel subsets of $[0,1]$ such that $\bigcap_{n=1}^\infty A_n = \emptyset$. Given $\...
            
        
       
    
            3
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    For METRIZABLE spaces, do the Banach classes and Baire classes coincide?
                In this paper: 'Borel structures for Function spaces' by Robert Aumann, 
http://projecteuclid.org/euclid.ijm/1255631584
Aumann claims that when X and Y are metric spaces (among other things), the ...