王燕敏.关于一些弱于仿紧性质在连续闭映射下的逆象(Ⅰ)[J].数学研究及应用,1986,6(1):15~23
关于一些弱于仿紧性质在连续闭映射下的逆象(Ⅰ)
On the Preimage of Some Properties Weaker than Paracompactness under Continuous Closed Mapping
投稿时间:1984-01-04  
DOI:10.3770/j.issn:1000-341X.1986.01.005
中文关键词:  
英文关键词:
基金项目:
作者单位
王燕敏 上海师范学院 
摘要点击次数: 1666
全文下载次数: 986
中文摘要:
      
英文摘要:
      In this paper, we study with uniform results the preimage of which the properties will preserve the same property under the continuous closed mapping whicd possess certain quite weak condition, for σ-metacompctness, θ-refinability, weakly θ-refinability, paralindel?fness, metalindelofness,δθ-refinability, weakly δθ-refinability, mesocompactness and sequentially mesocompactness, and so on. A necessary and sufficient condition about preimage problem, with uniform results, has been given in this paper; and therefore the results in D.K.Burke′s survey paper [4] have been strengthened in ihis paper.
查看全文  查看/发表评论  下载PDF阅读器