数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2007年
5期
503-506
,共4页
σ点有限%cfp网%诱导紧覆盖弱紧映射%度量空间
σ點有限%cfp網%誘導緊覆蓋弱緊映射%度量空間
σ점유한%cfp망%유도긴복개약긴영사%도량공간
σ-point-finite%cfp-networks%inductively compact-covering and weakly compact mappings%metric spaces
本文研究了度量空间的象,引进诱导紧覆盖弱紧映射,建立了具有σ点有限cfp网的空间与度量空间之间的联系,将完善"映射与空间"理论.
本文研究瞭度量空間的象,引進誘導緊覆蓋弱緊映射,建立瞭具有σ點有限cfp網的空間與度量空間之間的聯繫,將完善"映射與空間"理論.
본문연구료도량공간적상,인진유도긴복개약긴영사,건립료구유σ점유한cfp망적공간여도량공간지간적련계,장완선"영사여공간"이론.
In this paper, we continue to discuss the images of metric spaces. By means of the concept of inductively compact-covering and weakly compact mappings introduced, we establish the relationship between spaces with a σ-point-finite cfp-network and metric spaces. Thus make the theory on Mappings and Spaces complete.