程吉树.超空间上的连续对应与对应的闭图[J].数学研究及应用,1999,19(5):299~304 |
超空间上的连续对应与对应的闭图 |
Continuous Correspondences and Closed Graph of Correspondences on Super Space |
投稿时间:1996-11-19 |
DOI:10.3770/j.issn:1000-341X.1999.05.029 |
中文关键词: 超空间 连续对应 闭图 子集网 拓扑空间 |
英文关键词:Super space continuous correspondence closed graph subsets net topological space. |
基金项目: |
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中文摘要: |
本文的目的是在超空间上重新定义上半连续,下半连续和连续对应.改进了Klein在[1]中的定义7.1.1,得到了这些对应和它们的闭图的若干特征和性质,给出了子集网在下半连续对应中的应用 |
英文摘要: |
The aim of this paper is to redefine upper semicotinuous,lower semicotinuous and continuous correspondences on super spaces,which are improvement of Klein′s Definition 7.1.1 in .Some characterizations and properties of these correspondences and their closed graph are obtained,applications of subsets nets in lower semicontinuous correspondence are given. |
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