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具有某种性质的相对可数紧空间 被引量:1

Relatively Countable Compactness Space with Some Property
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摘要 本文主要研究了具有性质P的相对可数紧空间的相对紧性质,其中性质P分别代表相对Lindel f性质,相对仿紧性,相对亚紧性和相对次仿紧性质,举例说明了所给出的条件是不可减弱的. In this paper, we mainly study relative compactness of relatively countable compactness space with some property P, where property P represents relative Lindel^f property, relative paracompactness, relative metacompactness and relative subparacompactness, we also provide some examples to explain what we give conditions can not be weaken.
出处 《吉林师范大学学报(自然科学版)》 2011年第3期34-35,共2页 Journal of Jilin Normal University:Natural Science Edition
基金 吉林省教育厅"十一五"科研项目基金([2009]第199号) 吉林省四平市科技厅项目基金(2010012)
关键词 相对可数紧空间 性质P 相对紧性质 relatively countable compactness property P relative compactness
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参考文献10

  • 1张国芳.相对可数紧的一些性质(英文)[J].吉林师范大学学报(自然科学版),2009,30(3):58-60. 被引量:2
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二级参考文献5

  • 1Arhangel'akii A.V.,From classic topological invariant to relative topological properties,Sci.Math.Japon,55 No.1 (2002),153-201.
  • 2Arhangel' skii A.V.and Ganedi H.M.M.,Beginning of the Theory of Relative of the Theory of Relative Topological,General Topology:Space and Mapping.MGU,Moscow,(1989),3-48 (in Russian).
  • 3Engelking R.,General Topology.Sigma Series in Pare Mathematics,Heldermann,Berlin,revised,1989.
  • 4Grabner E.M.,Grabnor G.C.,Miyazaki K.,On properties of relative metacompactness and paracompactness type,Topology Proc,25 (2000),145-177.
  • 5Vaughan J.E.,Countably compact and sequentially compact spaces,Handbook of Set-theoretic Topology,North-Holland,New York,(1984),569-602.

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同被引文献10

  • 1张国芳.关于相对对称度量和1-度量的研究[J].吉林师范大学学报(自然科学版),2007,28(1):1-3. 被引量:1
  • 2Ryszard Engelking. General Topology[ M ]. Revised and completed edition. Berlin: Heldermann, 1989.
  • 3Vladimir Pavlovi-. Some types of relative paracompactness [ J]. Math. Morav. ,2003,7:33 - 42.
  • 4Elise Grabner, Gary Grabner, Kazumi, et al. Relationships among properties of relative paracompactness type [ J ]. Topology proceedincs, 2000,11 145 - 177.
  • 5E lise Graber, Gary. Relationships among properties of paracompactness type [ J ]. Q and A in topology ,2004,22 (2) :91 - 104.
  • 6Yan-Kui Song, G-f Han and Pi-Yu Li. On Relative Star-Lindeltifness, Bull [ J ]. Malays. Math. Sci. Soc. 2006,29 ( 1 ) : 183-186.
  • 7Yan-Kui Song, Relatively absolutely countably compact spaces [J ]. Bull. Malays. Math. Sci. Soc. , 2006,29 ( 1 ) : 17 - 21.
  • 8Guo-Fang Zhang. Some Properties of Relatively Strong Pseudocompactness [ J ]. Czechoslovak Mathematical Journal ,2008,58 (4) :! 145 N 1152.
  • 9张国芳.相对可数紧的一些性质(英文)[J].吉林师范大学学报(自然科学版),2009,30(3):58-60. 被引量:2
  • 10张国芳,范钦杰.相对次亚紧的一些性质[J].广西师范大学学报(自然科学版),2011,29(4):84-87. 被引量:1

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