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σ_1-空间及弱nested T_2算子

σ_1-space and Weaker Nested T_2 Operator
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摘要 本文研究了具有弱nested T2算子的空间的遗传性、有限乘积性并讨论了与正则空间、第一可数空间、同胚映射之间的关系. We get a result that weaker nested T2 operator has the properties of hereditary and finite product,etc.
作者 张丽
出处 《漳州师范学院学报(自然科学版)》 2007年第4期21-24,共4页 Journal of ZhangZhou Teachers College(Natural Science)
关键词 m1-空间 σ1-空间 弱nestedT2算子 m1 -space σ1 -Space weaker nested T2 operator
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参考文献6

  • 1G Gruenhage.Straifiable spacesare M2 [J]. Top Proc., 1976, (1): 221-226.
  • 2H K Junnila. On Submetacompactness[J]. Top Proc., 1978, (3): 375-405.
  • 3M Ito. M3-spaces Whose Every Point has a Closure Preserving Outer Base are M1 [J]. Top Appl, 1985, (19): 65-69.
  • 4Robert E.Buck, Robert W.Heath,and Phillip L. Zenor.Strong Monotone and Nested Normality[J]. Topology Proceedings,Volume, 2001-2002, (26): 67-82.
  • 5Robert E.Buck.Some Weaker Monotone Separation and Basis Properties[J]. Topology and its Applications, 1996, (69): 1-12.
  • 6张丽,许玉铭.σ_1-空间及其性质[J].山东大学学报(理学版),2006,41(5):30-32. 被引量:1

二级参考文献5

  • 1G Gruenhage.Stratifiable spaces are M2[J].Top Proc,1976,1:221~226.
  • 2H K Junnila.On submetacompactness[J].Top Proc,1978,3:375~405.
  • 3M Ito.M3-spaces whose every point has a closure preserving outer base are M1[J].Top Appl,1985,19:65~69.
  • 4Robert E Buck.Some weaker monotone separation and basis properties[J].Topology and its Applications,1996,69:1~12.
  • 5Gary GRUENHAGE.Generalized metric spaces,handbook of set-theory topology[M].Amsterdam:North Holland,1984.350~450.

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