佳木斯大学学报（自然科学版）
佳木斯大學學報（自然科學版）
가목사대학학보（자연과학판）
Journal of Jiamusi University(Natural Science Edition)
2015年
5期
747-748,783
,共3页
基%base-弱θ加细空间%base-可数弱θ加细空间%base-可数弱θ加细映射
基%base-弱θ加細空間%base-可數弱θ加細空間%base-可數弱θ加細映射
기%base-약θ가세공간%base-가수약θ가세공간%base-가수약θ가세영사
base%base-weakθrefinable space%base-countably weakθrefinable space%base-count-ably weakθrefinable mapping
引入了base-可数弱θ加细空间,获得了如下主要结果:(1){Fi}i∈N =∪n∈N An是空间X的闭覆盖,且对任意x∈X,?n∈N,使得1≤ord(x,An),若每一闭集Fi(i∈N)是相对于X的base -可数弱θ加细空间,则X是base -可数弱θ加细空间.(2)设f:X→Y是base -可数弱θ加细空间,ω( X)≥ω( Y) ,如果Y是正则的base-可数弱θ加细空间,那么X是base-可数弱θ加细空间.
引入瞭base-可數弱θ加細空間,穫得瞭如下主要結果:(1){Fi}i∈N =∪n∈N An是空間X的閉覆蓋,且對任意x∈X,?n∈N,使得1≤ord(x,An),若每一閉集Fi(i∈N)是相對于X的base -可數弱θ加細空間,則X是base -可數弱θ加細空間.(2)設f:X→Y是base -可數弱θ加細空間,ω( X)≥ω( Y) ,如果Y是正則的base-可數弱θ加細空間,那麽X是base-可數弱θ加細空間.
인입료base-가수약θ가세공간,획득료여하주요결과:(1){Fi}i∈N =∪n∈N An시공간X적폐복개,차대임의x∈X,?n∈N,사득1≤ord(x,An),약매일폐집Fi(i∈N)시상대우X적base -가수약θ가세공간,칙X시base -가수약θ가세공간.(2)설f:X→Y시base -가수약θ가세공간,ω( X)≥ω( Y) ,여과Y시정칙적base-가수약θ가세공간,나요X시base-가수약θ가세공간.
The notion of base-countably weakθrefinable space was introduced and the following results were mainly proved:( i) If{Fi}i∈N =∪n∈N An is a closed cover of X , for each x∈X ,there exists n∈N , such that1≤ord(x,An)吵ω, and each Fi(i∈N) is a closed base-countably weakθrefinable subspace relative to X , then X is a base-weakθrefinable space.( ii) Let Y be a base-countably weakθrefinable space and f:X→Y be a base-countably weakθrefinable mapping andω( X)≥ω( Y) , if Y is regular base-countably weakθrefinable space then X is base-countably weakθrefinable.
