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上闭集合
Sign in to saveAlso known as upset, upward closed set
subset of a preordered set that includes all successors of its elements
In the Vinony graph
Within Vinony's link graph, 上闭集合 is referenced by 119 other articles, and connects out to partially ordered set, lattice and well-order.
Vinony files it under Coalgebras, Order theory and Set theory.
Its subject is documented across 11 Wikipedia language editions.
Article · 中文
在数学中，上部集合（向上闭合集合）是给定偏序集合 (X,≤) 的子集 Y，使得对于所有元素 x 和 y，如果 x 小于等于 y，并且 x 是 Y 的一个元素，则 y 也在 Y 中。更加形式的说 概念是下部集合(向下闭合集合)，它是给定偏序集合 (X,≤) 的任何子集 Y，使得对于所有元素 x 和 y，如果 x 小于等于 y，并且 y 是 Y 的一个元素，则 x 也在 Y 中。更加形式的说
Abstract from DBpedia / Wikipedia · CC BY-SA
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partially ordered set
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lattice
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well-order
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ordered field
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well-founded relation
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preorder
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ordered group
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weak ordering
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Scott continuity
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ordered vector space
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mathematics
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International Standard Book Number
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real number
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topology
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digital object identifier
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OCLC, Inc.
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Library of Congress Control Number
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subset
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divisor
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union
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