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L-smooth拓扑空间新的分离性 被引量:3

A Set of New Separation Axioms in L-Smooth Topological Space
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摘要 在L-smooth拓扑空间中定义了一套新的分离公理,讨论了它们之间的关系并讨论了它们的性质. A set of new separation axioms in-smooth topological spaces are defined and studied. We discuss certain relationships among these separation axioms. Moreover, some of their basic properties are also examined.
出处 《聊城大学学报(自然科学版)》 2005年第2期1-3,共3页 Journal of Liaocheng University:Natural Science Edition
基金 山东省自然科学基金资助课题(Y2000A05)
关键词 L—smooth拓扑空间 r—n空间(i=1 2 3 4) r-正则空间 r-正规空间 L-smooth topological space,r-T_i spaces(i=1,2,3,4),r-regular spaces,r-normal spaces
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  • 1王延军,马保国.L-smooth s-远域及网的s-收敛性[J].山西师范大学学报(自然科学版),2007,21(1):25-27. 被引量:4
  • 2Arhangel, Skii A V. Relative topological properties and relative topological spaces[J]. Topology Appl, 1996,70(2); 87-89.
  • 3Sostak A P. On a fuzzy topological structure[J]. Red. Circ. Matem. Palermo Ser II, 1985,11:89-103.
  • 4Ramadan A A. Smooth topological spaces[J]. Fuzzy Sets and Systems, 1992,48:371-375.
  • 5Yue Y L, Fang J M. On separation axioms in I-fuzzy topological spaces[J]. Fuzzy Sets and Systems,2006 (157) :780 -793.
  • 6Fang J M, Chen P W. One-to-one correspondence between fuzzifying topologies and fuzzy preorders[J]. Fuzzy Sets and Systems, 2007, (158) : 1814-1822.
  • 7BADARD R.Smooth axiomatics[M].Palmade Mallorca:First IFSA Congress,1986.
  • 8RAMADAN A.Smooth topological spaces[J].Fuzzy Sets and Systems,1992,48:371-375.
  • 9RAMADAN A,DEEB S N E1,ABDEL-SATTER M A.On smooth topological spaces Ⅳ[J].Fuzzy Sets and Systems,2001,119:473-482.
  • 10Sostak A P. On a fuzzy topological structure[J]. Red. Circ. Matem. Palermo Ser Ⅱ, 1985,11:89-103.

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