摘要
在L-拓扑空间中通过引入θ-闭包的概念,定义θ-开(闭)集,讨论θ-闭包和θ-闭集的性质及其刻画.同时给出了两个有用的命题,证明了L-拓扑空间中全体θ-开集形成一个比原拓扑更粗的拓扑,进而引入并研究了θ-连续序同态,同时给出了θ-连续序同态的刻画,并举例说明θ-连续映射不必是连续映射.
By introducing θ-closures in L-topological spaces and defining θ-open（closed） sets,this paper discusses the properties and characterizations of θ-closures and θ-closed sets.Two useful propositions are given.It is proved that all θ-open sets in an L-topological space form a new topology which is coarser than the original one.The concept of θ-continuous order homomorphisms is introduced and discussed.θ-continuous order homomorphisms characterizations are given,and examples are provided to demonstrate that θ-continuous mapping need not be continuous mapping.
出处
《淮海工学院学报（自然科学版）》
CAS
2012年第1期7-10,共4页
Journal of Huaihai Institute of Technology:Natural Sciences Edition
基金
江苏省自然科学基金资助项目(BK2011442)
关键词
L-拓扑空间
θ-闭包θ-连续序同态
L-topological space
θ--closure
θ-continuous order homomorphism
