数学季刊(英文版)
數學季刊(英文版)
수학계간(영문판)
CHINESE QUARTERLY JOURANL OF AMTHEMTICS
2002年
4期
57-61
,共5页
quasi-Nagata空间%k-半分层空间%序列覆盖映射
quasi-Nagata空間%k-半分層空間%序列覆蓋映射
quasi-Nagata공간%k-반분층공간%서렬복개영사
quasi-Nagata space%k-semi-stratifiable space%sequencecovering mapping
本文讨论了quasi-Nagata 空间与一类重要广义度量空间k-半分层空间的关系,证明了quasi-Nagata空间的一些映射性质.
本文討論瞭quasi-Nagata 空間與一類重要廣義度量空間k-半分層空間的關繫,證明瞭quasi-Nagata空間的一些映射性質.
본문토론료quasi-Nagata 공간여일류중요엄의도량공간k-반분층공간적관계,증명료quasi-Nagata공간적일사영사성질.
In this paper, we discuss the relationship between k-semi-stratifiable spaces and quais-Nagata spaces and some mapping properties of quasi-Nagata spaces. We get following results: sequence-covering closed mapping preserve quasi-Nagata spaces, and finite-to-one open mappings don't preserve quasi-Nagata spaces.