期刊文献+

拓扑空间中的强半准开集与强半准连续 被引量:2

Strongly Semi-preopen Sets and Strong Semi-precontinuity in Topological Spaces
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摘要 引进了拓扑空间中强半准开集、强半准闭集、强半准闭包算子、强半准内部算子、强半准连续等概念,讨论了它们的性质,给出了Kuratowski十四集定理的推广形式,建立了强半准连续与已有的相关概念之间的联系. In this paper, strongly semi-preopen sets, strongly semi-preelosed sets, strong semi-preclosure, strong semi-preinterior and strong semi-precontinuity in topological spaces are introduced, their properties are studied, and Kuratowski's fourteen sets theorem is given. Also their relationship with some related notions is set up.
作者 罗海 白世忠
机构地区 五邑大学数理系
出处 《五邑大学学报(自然科学版)》 CAS 2008年第2期5-10,共6页 Journal of Wuyi University(Natural Science Edition)
基金 国家自然科学基金资助项目(60542001) 广东省自然科学基金项目(021358) 江门市科技计划项目(江财工[2007]208)
关键词 强半准开集 强半准内部 强半准闭包 强半准连续 strongly semi-preopen sets strong semi-preinterior strong semi-preclosure strongsemi-precontinuity
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参考文献10

  • 1STONE M. Application of the theory of Blooean rings to general topology[J]. Trans Amer Math Soc, 1937, 41: 374-481.
  • 2LEVINE N L. Semi-open sets and semi-continuity in topological spaces[J]. Amer Math Monthly, 1963, 70: 34-41.
  • 3MASHHOUR A S, ABD EI-MONSEF M E, El-DEEP S N. On precontinuious and weak precontinuious mappings[J]. Proc Math Phy Egypt. 1982, 53: 47-53.
  • 4杨忠强 杨乐成.半同胚空间类.数学年刊:A辑,1988,9(3):83-88.
  • 5ANDRIJEVEC D. Semi-preopen sets[J]. Mat Vesnik, 1986, 38: 29-32.
  • 6ABD EL-MONSEF M E, EL-DEEP S N, R A Mahmoud. β-open sets and β-countinuous mappings[J]. Bull Fac Sci Assiut Univ, 1983, 12: 77-90.
  • 7CROSSLEY S G. HILDERBRAND S K. Semi-continuity in topological spaces[J]. Texas J Sci, 1971, 22: 123-126.
  • 8EL-DEEP S N, HASANEIN I A, MASHHOUR A S. NOIRI T. On p-reguarly spaces[J]. Bull Math Soc Sci Math R S Roumanie, 1983.27(75): 311-315.
  • 9白世忠.几乎不定和几乎半连续映射.延安大学学报:自然科学版,1992,(2):5-9.
  • 10白世忠.拓扑空间之间连续映射的几种弱形式.延安大学学报:自然科学版,1992,(4):1-9.

共引文献6

同被引文献17

  • 1罗海,白世忠.L-拓扑空间一型新强连通性[J].云南大学学报(自然科学版),2008,30(S1):242-244. 被引量:2
  • 2黄良生,白世忠.LF正则准半开(闭)集与S-准半连续[J].五邑大学学报(自然科学版),2006,20(2):56-59. 被引量:1
  • 3王国俊.L-fuzzy拓扑空间中的连通性[J].陕西师大学报(自),1987,13(3):1-10.
  • 4Bai Shizhong.Strong connectedness in L-fuzzy topological spaces[J].J Fuzzy Math,1995,3:751-759.
  • 5Bai Shizhong,Wang Wanliang.I type of strong connectivity in L-fuzzy topological spaces[J].Fuzzy Sets and Systems,1998,99(3):357-362.
  • 6BAI Shizhong.PS-connectedness of L-subsets[J].J Korean Math Soc,2007,44(1):129-137.
  • 7AYGUN H,KUDRI S RT.P-closeness in L-fuzzy topological spaces[J].Fuzzy Sets and systems,2000,109:277-283.
  • 8AZAD K K. On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weak continuity[J]. J Math Anal Appl, 1981, 82: 14-32.
  • 9BAI S Z. Fuzzy pre-semiopen sets and fuzzy pre-semicontinuity[J]. Proc ICIS, 1992, 92: 918-920.
  • 10BAI S Z. Fuzzy strongly semi-open sets and fuzzy strong semi-continuity[J]. Fuzzy Sets and Systems, 1992, 52: 345-351.

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