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Kolodziej's acta paper "the complex monge-ampere equation"

recently,i have read kolodziej's acta paper,there are some ditails that i do not know clearly.\newline in the top line of page99,"it's no restriction to assume that for each s we have $\nu(\cup_{I\in{B_s}}\partial I)=0$",i do not know why.\newline ask for help.thanks.

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