L-拓扑空间中的强准开集与强准连续  

Strongly Pre-open Sets and Strong Pre-continuity in L-Topological Spaces

作　　者：吴修云[1] 白世忠[1] 

机构地区：[1]五邑大学数学物理系,广东江门529020

出　　处：《五邑大学学报（自然科学版）》2006年第2期37-41,共5页Journal of Wuyi University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60473009;60542001);广东省自然科学基金项目(021358);江门市科技计划项目[2005]102

摘　　要：引进L-拓扑空间的强准开(闭)集,讨论它的性质,建立它与已有近似开集之间的结构关系.其次引进强准闭包和强准内部,论述KURATOWSKI十四集定理的推广形式.最后引进强准连续、强准开(闭)序同态,讨论它们的性质.In this paper, first, strongly pre-open sets and strongly pre-closed sets in L-topological spaces are introduced. Then, their properties are studied and their structural relationship with known near-open sets are established. Third, the strong pre-interior and strong pre-closure are introduced and Kuratowski＇s fourteen-set theorem is discussed. Finally, strong pre-continuity and strongly pre-open （closed） mappings are introduced and their properties are discussed.

关 键 词：L-拓扑空间 强准开集 强准内部 强准连续 

分 类 号：O189.1[理学—数学]