陈图云.Kendall问题的通解结构[J].数学研究及应用,1984,4(2):69~74
Kendall问题的通解结构
A Complete Consequence of the Solutions of Kendall's Problem
投稿时间:1982-10-29  
DOI:10.3770/j.issn:1000-341X.1984.02.016
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陈图云 辽宁师大数学系 
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英文摘要:
      Let F be an arbitrary family of subsets of U and f be a mapping: F→{0,1}, how can we tell whether fz=f for some subset Z of U and how can we construct this Z (or the equivalence class of such Zs)? Here fz:?T∈F,(?).This problem was recognized by D. G. Kendall and the largest element of such Z' s had been established at the same time. In this paper, we shall obtain a class of the minimums and a complete consequence of such Z's by means of F-atom, contacta-bility and relation equation.
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