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centered set
In mathematics, in the area of order theory, an upwards centered set ''S'' is a subset of a partially ordered set, ''P'', such that any finite subset of ''S'' has an upper bound in ''P''. Similarly, any finite subset of a downwards centered set has a lower bound. An upwards centered set can also be called a consistent set. Note that any directed set is necessarily centered, and any centered set is linked.
A subset ''B'' of a partial order is said to be σ-centered if it is a countable union of centered sets.
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抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
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