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强拟连续与强拟S_i分离性

Strongly Quasi-Continuous and Strongly Quasi S_i-Separations
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摘要 首先利用半开集引入强拟开集、强拟连续概念,研究强拟连续的相关性质;其次引入了强拟S_(2.75)分离、强拟S_(3.5)分离概念,并给出它们的特征刻画,最后得到强拟S_i-空间之间的关系. First, the concepts of strongly quasi-open sets and strongly quasi- continuous were introduced by semi-open sets, some properties results were also given.Furthermore, the concept of strongly quasi $2 75-separations and strongly quasi $3 5-separations were intro- duced, then those characterizing theorem was proved, furthermore, the topological properties were obtained. Finally, the connections among strongly quasi Si-separations were discussed.
作者 吴耀强
出处 《数学的实践与认识》 CSCD 北大核心 2013年第21期193-198,共6页 Mathematics in Practice and Theory
基金 宿迁学院科研基金(2013KY11)
关键词 强拟开集 强拟连续 强拟S2-75分离 强拟岛 5分离 strongly quasi-closed sets strongly quasi-continuous mapping strongly quasi S2.75-separations strongly quasi S3.5-separations
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参考文献6

  • 1Levine N. semi-open sets and semi-continuity in topological spaces[J]. Amer Math Monthly, 1963, 70(1): 36-41.
  • 2Crossley S G, and Hildebrand S K. semi-closure[J]. Texas J Sci. 1971, 22(2+3): 99-112.
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  • 5吴耀强.基于半开集的强拟开集运算与性质[J].吉林师范大学学报(自然科学版),2010,31(2):59-62. 被引量:8
  • 6吴耀强.强拟S_i分离性及其拓扑性质[J].纯粹数学与应用数学,2010,26(6):1026-1031. 被引量:5

二级参考文献11

  • 1艾为鸿.拓扑空间中的强半开集[J].江西教育学院学报,2003,24(3):8-10. 被引量:6
  • 2熊金诚.点集拓扑讲义(第三版)[M].北京:高等教育出版社,2003,12:131-134.
  • 3STONE M.Application of the theory of Blooean rings to general topology[J].Trans Amer Math Soc,1937,41:374-481.
  • 4LEVINE NL.Semi-open sets and semi-continuity in topological spaces[J].Amer Math Monthly,1963,70:34-41.
  • 5MASHHOURAS,ABD EL-MONSEF M E,EL-DEEP S N.On pre-continuous and weak precontinuousmappings[J].Proc Math Phy Egypt,1982,53:47-53.
  • 6Levine N.Semi-open sets and semi-continuity in topological spaces[J].Amer.Math.Monthly,1963,70(l):36-41.
  • 7Crossley S G,Hildebrand S K.Semi-closure[J].Texas J.Sci.,1971,22(2-3):99-112.
  • 8胡庆平.关于分离性和同胚关系的一些推广[J].数学研究与评论,1984,(2):18-19.
  • 9熊金诚.点集拓扑讲义[M].3版.北京:高等教育出版社,2003.
  • 10吴耀强.基于半开集的强拟开集运算与性质[J].吉林师范大学学报(自然科学版),2010,31(2):59-62. 被引量:8

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