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In mathematics, the amoeba order is the partial order of open subsets of 2''ω'' 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 2''ω'' 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 name "amoeba order" come from the fact that a subset in the amoeba order can "engulf" a measure zero set by extending a "pseudopod" to form a larger subset in the order containing this measure zero set, which is analogous to the way an amoeba eats food. The amoeba order satisfies the countable chain condition. ==References== * 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Amoeba order」の詳細全文を読む スポンサード リンク
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