Semi-precontinuous functions and properties of generalized semi-preclosed sets in topological spaces
作者: G. B. Navalagi
作者单位: 1Department of Mathematics, KLE Society's, G. H. College, Haveri 581110, Karnataka, India
刊名: International Journal of Mathematics and Mathematical Sciences, 2002, Vol.29 (2), pp.85-98
来源数据库: Directory of Open Access Journals
DOI: 10.1155/S0161171202010499
原始语种摘要: Andrijević (1986) introduced the class of semi-preopen setsin topological spaces. Since then many authors includingAndrijević have studied this class of sets by defining theirneighborhoods, separation axioms and functions. The purpose ofthis paper is to provide the new characterizations ofsemi-preopen and semi-preclosed sets by defining the concepts ofsemi-precontinuous mappings, semi-preopen mappings,semi-preclosed mappings, semi-preirresolute mappings,pre-semipreopen mappings, and pre-semi-preclosed mappings andstudy their characterizations in topological spaces. Recently,Dontchev (1995) has defined the concepts of generalizedsemi-preclosed (gsp-closed) sets and generalized semi-preopen(gsp-open) sets in topology. More recently, Cueva (2000)has defined the concepts like approximately...
全文获取路径: DOAJ  (合作)

  • topological 拓扑的
  • irresolute 犹豫不决的
  • semiclosed 半闭式
  • generalized 广义
  • contra 相对
  • approximately 近似地
  • introduced 引种的
  • defined 定义
  • class 
  • perfectly 完全地