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1)  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;
预邻域系算子、预开邻域基算子和预基确定预拓扑
2)  neighborhood system operator
邻域系算子
3)  pre-open-neighborhood base operater
预开邻域基算子
1.
Determining pre-topologies by pre-neighborhood system operater,pre-open-neighborhood base operater,or pre-base;
预邻域系算子、预开邻域基算子和预基确定预拓扑
4)  neighbor operator
邻域算子
5)  operator neighborhood
算子邻域
6)  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
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).
  
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