期刊文献+

关于R({0,1/2,1})的水平拓扑的一个结果

A result of level topological spaces of R({0,1/2,1})
下载PDF
导出
摘要 设L={0,1/2,1},Reg(XL)是L-实直线(R(L),δ)的水平拓扑空间(R(L),lL,1/2(δ))中的正则开集的全体.利用R(L)与平面R2的子集XL={〈r,s〉∈R2|r≤s}之间的序同构关系,证明了(Reg(XL),)是有补的locale,但它无素元,无余素元且不满足完全分配律. Let L={0,1/2,1},Reg(XL) is the set of all regular open sets in (R(L),lL,1/2(δ)) (a level space of L-real line (R(L),δ)). By using the order isomorphism between R(L) and XL = {(r,s)∈R^2r ≤s} (a subset of R2), it is proved that (Reg(XL), C) is a locale which has complementary operation, but has neither prime element nor coprime element, which is not a completely distributive complete latrice too.
出处 《纺织高校基础科学学报》 CAS 2007年第4期331-334,共4页 Basic Sciences Journal of Textile Universities
基金 国家自然科学基金(10271069) 陕西师范大学研究生培养创新基金资助项目
关键词 L-拓扑空间 L-实直线 水平空间 正则开集 L-topological space L-real line level space regular open set
  • 相关文献

参考文献5

  • 1周红军,李生刚.模糊实直线的水平空间[J].东北师大学报(自然科学版),2005,37(1):16-19. 被引量:1
  • 2LIU Y M, LUO M K. Fuzzy topology[M]. Singapore:World Scientific Publishing Co Pte Ltd, 1998.
  • 3ENGELKING R. General topology[M]. Warszawa: Polish Scientific Publishers, 1977: 352-360.
  • 4RODABAUGH S E. Fuzzy real lines and dual relines as poslat topological, uniform and metric ordered semirings with unity[C]//HOHLE U, RODABAUGH S E. Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory. The Handbooks of Fuzzy Sets Series (3). Dordrecht: Kluwer Academic Publishers, 1999:607-631.
  • 5熊金城.点集拓扑讲义[M].3版.北京:高等教育出版社,2004.

二级参考文献3

  • 1Rodabaugh S E.Fuzzy real lines and dual relines as poslat topological,uniform,and metric ordered semirings with unity [A].Hohle U and Rodabaugh S E.Mathematics of fuzzy sets:logic,topology,and measure theory,the handbooks of fuzzy sets series [M].Dordrecht:Kluwer Academic Publishers,1999.607~631.
  • 2Engelking R.General topology [M].Warszawa:Polish Scientific Publishers,1977.352~360.
  • 3金长泽.不明拓扑学的某些发展概况[J].东北师大学报:自然科学版,1981,:53-67.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部