| 关于一致连续偏序集的权的一些性质 |
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| 引用本文： | 阮小军,肖水明.关于一致连续偏序集的权的一些性质[J].安徽大学学报(自然科学版),2008,32(4). |
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| 作者姓名： | 阮小军 肖水明 |
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| 作者单位： | 南昌大学,数学系,江西,南昌,330031;南昌大学,数学系,江西,南昌,330031 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金，南昌大学校科研和教改项目 |
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| 摘 要： | 引入了一致连续偏序集的基的概念,给出了其一些等价刻画,讨论了一致连续偏序集的权与相应一致Scott拓扑空间的权之间的关系,并且进一步讨论其与相应的一致Lawson拓扑空间的权之间的关系.最后给出了在一致连续偏序集中,有w(Λ(P))=w(P)=w((P)).
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| 关 键 词： | 一致连续偏序集 基 权 一致Scott拓扑 一致Lawson拓扑 |
Some properties of the weight on uniform continuous posets |
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| RUAN Xiao-jun,XIAO Shui-ming.Some properties of the weight on uniform continuous posets[J].Journal of Anhui University(Natural Sciences),2008,32(4). |
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| Authors: | RUAN Xiao-jun XIAO Shui-ming |
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| Abstract: | The concept of basis on the uniform continuous posets was defined.The equivalent characterizations of the basis on it were given,the relations between the weight on uniform continuous posets and that on the relative uniform Scott or Lawson topological spaces were discussed.Finally a perfect equality was obtained. |
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| Keywords: | uniform continuous posets weight basis uniform Scott topology uniform Lawson topology |
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