In mathematics, the amoeba order is the partial order of open subsets of 2ω of measure less than 1/2, ordered by reverse inclusion. Amoeba forcing is forcing with the amoeba order; it adds a measure 1 set of random reals. There are several variations, where 2ω is replaced by the real numbers or a real vector space or the unit interval, and the number 1/2 is replaced by some positive number ε. The amoeba order satisfies the countable chain condition.
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