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关于连续乌利松空间的论证
引用本文:武秀美. 关于连续乌利松空间的论证[J]. 菏泽学院学报, 2010, 32(2): 18-19
作者姓名:武秀美
作者单位:菏泽学院数学系,山东菏泽,274015
摘    要:
研究Stepanova的连续分离族在线性序空间和广义序空间中的作用,并给出一个定理.进一步用这个定理证明Michael直线的极小线性序闭扩张有一个连续分离族.

关 键 词:连续乌利松空间  连续分离族  线性序拓扑空间  

A Note ON Continuous Urysohn Spaces
WU Xiu-mei. A Note ON Continuous Urysohn Spaces[J]. , 2010, 32(2): 18-19
Authors:WU Xiu-mei
Affiliation:Department of Mathematics;Heze University;Heze Shandong 274015;China
Abstract:
The paper make a study of the role of Stepanova's continuous separating families in the calss of linearly ordered and generalized ordered spaces and gives a theorem.And then using this theorem it shows that the minimal linearly ordered closed extension of the Michael line has a continuous separating family.
Keywords:Continuous Urysohn Spaces  Continuous separating family  Linear order topological space  
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