Upper set
In mathematics, an upper set (also called an upward closed set or just an upset) of a partially ordered set (X,≤) is a subset U with the property that, if x is in U and x≤y, then y is in U. The dual notion is lower set (alternatively, down set, decreasing set, initial segment, semi-ideal; the set is downward closed), which is a subset L with the property that, if x is in L and y≤x, then y is in L.
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Upper set
In mathematics, an upper set (also called an upward closed set or just an upset) of a partially ordered set (X,≤) is a subset U with the property that, if x is in U and x≤y, then y is in U. The dual notion is lower set (alternatively, down set, decreasing set, initial segment, semi-ideal; the set is downward closed), which is a subset L with the property that, if x is in L and y≤x, then y is in L.
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Em matemática, mais precisamen ...... se y≤x, então y pertence à S.
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En mathématiques, et plus préc ...... si x ≤ y, alors y est dans F.
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In matematica si definisce seg ...... l'alto) mediante la proprietà
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In mathematics, an upper set ( ...... not necessarily a sublattice.
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在数学中，上部集合（向上闭合集合）是给定偏序集合 (X,≤) ...... y 是 Y 的一个元素，则 x 也在 Y 中。更加形式的说
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Em matemática, mais precisamen ...... se y≤x, então y pertence à S.
@pt
En mathématiques, et plus préc ...... si x ≤ y, alors y est dans F.
@fr
In matematica si definisce seg ...... l'alto) mediante la proprietà
@it
In mathematics, an upper set ( ...... in L and y≤x, then y is in L.
@en
在数学中，上部集合（向上闭合集合）是给定偏序集合 (X,≤) ...... y 是 Y 的一个元素，则 x 也在 Y 中。更加形式的说
@zh
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Section commençante
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Segmento inicial (matemática)
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Segmento iniziale
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Upper set
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上闭集合
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