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中文摘要：
给出了相容半连续格的概念以及它的若干性质,利用相容半素极小集的方法阐述了映射的相容半连续性、保〈=c关系和保相容半素极小集之间的联系,并得到相容半连续格的任意收缩仍是相容半连续格的结论.
英文摘要：
In this paper,the concept of consistently semicontinuous lattice is introduced and examined.By using the method of consistently semiprime minimal subsets,the relationships among the consistently semicontinuous,the property of preserving c and the property of preserving consistently semiprime minimal subsets of mappings are ex-plained.In addition,the fact that any retract of a consistently semicontinuous lattice is still consistently semicontin-uous is proved.
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