湖南城市学院学报（自然科学版）
湖南城市學院學報（自然科學版）
호남성시학원학보（자연과학판）
JOURNAL OF HUNAN CITY UNIVERSITY(NATURAL SCIENCE)
2006年
1期
38-41
,共4页
弱基%g-可度量空间%紧覆盖映射%序列覆盖映射
弱基%g-可度量空間%緊覆蓋映射%序列覆蓋映射
약기%g-가도량공간%긴복개영사%서렬복개영사
Weak-bases%compact-covering maps%sequence-covering maps%-metrizable space
研究了局部可数弱基空间与局部可分度量空间之间的关系,论证了具有局部可数弱基的空间是g-可度量空间,1-序列覆盖ss-映射仍具有局部可数弱基的性质.
研究瞭跼部可數弱基空間與跼部可分度量空間之間的關繫,論證瞭具有跼部可數弱基的空間是g-可度量空間,1-序列覆蓋ss-映射仍具有跼部可數弱基的性質.
연구료국부가수약기공간여국부가분도량공간지간적관계,론증료구유국부가수약기적공간시g-가도량공간,1-서렬복개ss-영사잉구유국부가수약기적성질.
In this paper, firstly we establish the relationships between spaces with a locally countable weak-base and locally separable metric spaces by means of compact-covering maps, secondly we show that a regular space with a locally countable weak-base is -metrizable. Thirdly, we show that 1-sequence-covering, quotient, -maps preserve spaces with a locally countable weak base.
