淮北师范大学学报（自然科学版）
淮北師範大學學報（自然科學版）
회북사범대학학보（자연과학판）
JOURNAL OF HUAIBEI COAL INDUSTRY TEACHERS COLLEGE(NATURAL SCIENCE)
2014年
1期
12-15
,共4页
张鹏垚%姜广浩%李海龙%占诗源
張鵬垚%薑廣浩%李海龍%佔詩源
장붕요%강엄호%리해룡%점시원
相容连续Domain%局部基%特征%浓度%Scott拓扑%Lawson拓扑
相容連續Domain%跼部基%特徵%濃度%Scott拓撲%Lawson拓撲
상용련속Domain%국부기%특정%농도%Scott탁복%Lawson탁복
consistently continuous Domain%local basis%characteristic%density%Scott topology%Lawson topolo-gy
引入相容连续Domain的权与稠密子集的概念，在此基础上定义相容连续Domain的特征与浓度。给出局部基的刻画，并讨论相容连续Domain的特征、浓度与相容连续Domain带上Scott拓扑或Lawson拓扑时拓扑空间的特征与浓度之间的关系。证明相容连续Domain的特征、浓度分别带上Scott拓扑时拓扑空间的特征、浓度相等，它们分别小于相容连续Domain带上Lawson拓扑时拓扑空间的特征与浓度。
引入相容連續Domain的權與稠密子集的概唸，在此基礎上定義相容連續Domain的特徵與濃度。給齣跼部基的刻畫，併討論相容連續Domain的特徵、濃度與相容連續Domain帶上Scott拓撲或Lawson拓撲時拓撲空間的特徵與濃度之間的關繫。證明相容連續Domain的特徵、濃度分彆帶上Scott拓撲時拓撲空間的特徵、濃度相等，它們分彆小于相容連續Domain帶上Lawson拓撲時拓撲空間的特徵與濃度。
인입상용련속Domain적권여주밀자집적개념，재차기출상정의상용련속Domain적특정여농도。급출국부기적각화，병토론상용련속Domain적특정、농도여상용련속Domain대상Scott탁복혹Lawson탁복시탁복공간적특정여농도지간적관계。증명상용련속Domain적특정、농도분별대상Scott탁복시탁복공간적특정、농도상등，타문분별소우상용련속Domain대상Lawson탁복시탁복공간적특정여농도。
The definitions of weight,dense set,characteristic and density of consistently continuous Domain are given first,and some characteristic theorems are obtained.In addition,the relations between the character-istic and density of a consistently continuous Domain and that of the related topological space with Scott to-pology or Lawson are discussed.It is concluded that the characteristic and density of consistently continuous Domain and those on the related space with Scott topology are consistent,less than that of the related space with Lawson topology respectively.
