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There are several variations, where 2 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
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The name "amoeba order" come from the fact that a subset in the amoeba order can "engulf" a measure zero set by extending a "
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of open subsets of 2 of measure less than 1/2, ordered by reverse inclusion. Amoeba forcing is
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provides insufficient context for those unfamiliar with the subject
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with the amoeba order; it adds a measure 1 set of random reals.
122:, Studies in Logic, vol. 34, London: College Publications,
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104:The amoeba order satisfies the
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73:amoeba order
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49:October 2014
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101:eats food.
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120:Set theory
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