相容双有限Domain的几个性质

journal6 ›› 2006, Vol. 27 ›› Issue (4): 20-21.

相容双有限Domain的几个性质

（淮海工学院数理科学系，江苏连云港 222005）

出版日期:2006-07-25 发布日期:2012-08-22
作者简介:张滦云（1968－），女，安徽省无为人，淮海工学院数理科学系讲师，主要从事格上拓扑学研究．
基金资助:
淮海工学院自然科学基金项目(Z2004027)

Some Properties of Consistently Bifinite Domains

(Department of Mathematics and Physics,Huaihai Institute of Technology,Lianyungang 222005,Jiangsu China)

Online:2006-07-25 Published:2012-08-22

摘要/Abstract

摘要：在相容双有限domain概念及其等价性质的基础上，证明了几个与相容双有限domain相关的结论：相容双有限domain在Scott连续映射下的像仍是相容双有限domain；相容双有限domain的非空Scott闭子集仍是相容双有限domain等.

关键词： 相容双有限domain, 射影, 核算子, 逼近单位

Abstract: Based on the concepts of consistently bifinite domains and the equivalent properties,the article proves several relevant conclusions of consistently bifinite domains.The image of a consistently bifinite domain under a Scott-continuous projection is also a consistently bifinite domain;A nonempty Scott-closed subset of a consistently bifinite domain is also a consistently bifinite domain,etc.

Key words: consistently bifinite domains, projection, kernel operators, approximate identity

张滦云. 相容双有限Domain的几个性质[J]. journal6, 2006, 27(4): 20-21.

ZHANG Luan-Yun. Some Properties of Consistently Bifinite Domains[J]. journal6, 2006, 27(4): 20-21.

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