| 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 |
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| 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. |
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