1) L-pre-R-neighborhood System Operator
L-预远域系算子
1.
Determining an L-pretopology by an L-pre-R-neighborhood System Operator,by an L-preexterior Operator,or by an L-preboundary Operator;
用L-预远域系算子、L-预外部算子或L-预边界算子确定L-预拓扑
2) weak remote neighborhood system operator
弱远域系算子
3) pre-neighborhood system operater
预邻域系算子
1.
Determining pre-topologies by pre-neighborhood system operater,pre-open-neighborhood base operater,or pre-base;
用预邻域系算子、预开邻域基算子和预基确定预拓扑
4) L-fuzzy remote neighborhood system
L-模糊远域系
5) L-smooth sr-remote neighbourhood
L-smoothsr-远域
6) L-preclosure Operator
L-预闭包算子
1.
It is proved that the set of all L-pretopologies,the set of all L-preclosure operators,and the set of all L-preinterior operators on a given set X are all complete lattices which are isomorphic to each other.
证明了定理:1)给定集合X上的所有L-预拓扑、所有L-预闭包算子、所有L-预内部算子构成了彼此同构的完备格;2)X上的所有满足一定条件的L-预拓扑与所有L-预N-导算子构成了同构的完备格。
补充资料：邻域定义系
邻域定义系
defining system of neighbourhoods
任意包含A的开集W，存在族着的一个含于W的元素U. 有时还要求族古的所有元素都是开集.在拓扑空间X中单点集{x}的邻域定义系称为点xoX在X中的邻域定义系.邻域定义系!山几血犯卿劝团lof侧沙加胭加阅山;on pe八e-月二功川a.e.eTeMa oKpecT”oeTe‘」，拓扑空I’qX中集合A的 空间X中满足下列两个条件的子集族七:a)对每个O任七，存在X中的开集V，使得OOVOA;b)对X中【补注】邻域定义系也称为局部基(focalh朽e)或者邻域基(能电hbo切七Cx刃加义).
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
参考词条