株洲工学院学报
株洲工學院學報
주주공학원학보
JOURNAL OF ZHUZHOU INSTITUTE OF TECHNOLOGY
2005年
6期
19-22
,共4页
弱基%sn-网%紧复盖映射%1-序列复盖映射%ss-映射%π-映射
弱基%sn-網%緊複蓋映射%1-序列複蓋映射%ss-映射%π-映射
약기%sn-망%긴복개영사%1-서렬복개영사%ss-영사%π-영사
weak-bases%sn-networks%compact-covering maps,1-sequence-covering maps%π -maps%ssmaps
通过建立具有局部可数弱基的空间与局部可分度量空间之间的关系,证明了具有局部可数弱基的空间是g-可度量空间,1-序列复盖商ss-映射保持具有局部可数弱基的空间.
通過建立具有跼部可數弱基的空間與跼部可分度量空間之間的關繫,證明瞭具有跼部可數弱基的空間是g-可度量空間,1-序列複蓋商ss-映射保持具有跼部可數弱基的空間.
통과건립구유국부가수약기적공간여국부가분도량공간지간적관계,증명료구유국부가수약기적공간시g-가도량공간,1-서렬복개상ss-영사보지구유국부가수약기적공간.
It is verified that a regular space with a locally countable weak-base is -metrizable. The relationships are established between spaces with a locally countable weak-base and locally separable metric spaces by means of compact-covering maps, 1-sequence-covering maps, π -maps and ss-maps. It is also verified that 1-sequence-covering, quotient, -maps preserve spaces with a locally countable weak base.
