| 有横贯的Hall-型判定定理 |
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| 引用本文： | 毛华,刘三阳.有横贯的Hall-型判定定理[J].数学学报,2012(2):351-354. |
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| 作者姓名： | 毛华 刘三阳 |
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| 作者单位： | 河北大学数学与计算机学院;西安电子科技大学理学院 |
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| 基金项目： | 国家自然科学基金资助项目(60974082);保定市科技项目(11ZG005) |
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| 摘 要： | 给出了任意集上的一个集族有横贯的一些Hall-型判定定理,回答了Welsh关于相应的无限情形的公开问题,即对于无限情况,找到一个集族有横贯的充要条件.
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| 关 键 词： | Hall-型 横贯 无限 族 极限数 |
Hall-Type Criteria to Have a Transversal |
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| Hua MAO.Hall-Type Criteria to Have a Transversal[J].Acta Mathematica Sinica,2012(2):351-354. |
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| Authors: | Hua MAO |
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| Institution: | Department of Mathematics,Xidian University,Xi’an 710071,P.R.China |
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| Abstract: | This paper provides some Hall-type criteria for a family of subsets of an arbitrary cardinality set to have a transversal,and simultaneously,answers to Welsh’s open problem for the infinite case.The problem is to find necessary and sufficient conditions for a family of sets to have a transversal. |
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| Keywords: | Hall-type transversal infinite family limit number |
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