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关于一些弱于仿紧性质在连续闭映射下的逆象(Ⅰ)
引用本文: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.
作者姓名:王燕敏
作者单位:上海师范学院
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.

收稿时间:1/4/1984 12:00:00 AM

On the Preimage of Some Properties Weaker than Paracompactness under Continuous Closed Mapping
Wang Yanming.On the Preimage of Some Properties Weaker than Paracompactness under Continuous Closed Mapping[J].Journal of Mathematical Research with Applications,1986,6(1):15-23.
Authors:Wang Yanming
Institution:Shanghai Normal College
Abstract:
Keywords:
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