J4 ›› 2009, Vol. 44 ›› Issue (8): 51-55.
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梁少辉 赵彬
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基金资助:
国家自然科学基金资助项目(10871121)
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摘要：
本文给出强FS-Poset的定义,讨论强FS-Poset的一些性质,证明强FS-Poset不但是连续的,而且是Scott紧的。 在强FS-Poset的基础上,给出了强FS-Lattice的概念, 探讨强FS-Lattice的若干性质，用函数空间刻划了强FS-Lattice, 得到了连续格是强FS- Lattice的充要条件。
关键词: 单位逼近;强FS-Poset; Scott连续映射; 连续格
Abstract:
The definition of strong FS-Posets is given. Some properties of strong FS-Posets are discussed, and it is proved that strong FS -Posets not only are continuous, but also are Scott. Based on strong FS-Poset s, the concept of strong FS-Lattices is given. Some properties of strong FS-La tt ices are studied. Strong FS-Lattices are characteristic of the function space. The sufficient and necessary conditions for a continuous lattice to be a s trong FS-Lattice are obtained.
Key words: approximate identity; strong FS-Poset; scott continuous map; continuous lattice
中图分类号:
梁少辉 赵彬. 强 FS-Poset 若干性质的研究[J]. J4, 2009, 44(8): 51-55.
LIANG Shao-Hui, DIAO Ban. Resarches on some properties of a strong FS-Poset[J]. J4, 2009, 44(8): 51-55.
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http://lxbwk.njournal.sdu.edu.cn/CN/Y2009/V44/I8/51
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