王尚志,李伯渝.拟序定向集最小共尾部分的结构[J].数学研究及应用,1983,3(1):91~92 |
拟序定向集最小共尾部分的结构 |
On the Minimal Cofinal Subsets of a Directed Quasi Ordered Set |
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DOI:10.3770/j.issn:1000-341X.1983.01.018 |
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英文摘要: |
It is shown that for any directed quasi ordered set (Q,≤),there is a minimal ordinal number λ such that every cofinal subset of Q contains a cofinal subset which is the o-th class original set of a λ-th class chain of Q. A special case of our results gives necessary and sufficient conditions for a directed set to contain a cofinal chain. |
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