θ可加细性及一些有关性质 |
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引用本文: | 吴利生.θ可加细性及一些有关性质[J].数学研究及应用,1988,8(2):201-205. |
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作者姓名: | 吴利生 |
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摘 要: | Definition 1. A space is θ-refinable, if every directed open cover of thespace has a pointwise star-refining sequence by open covers. It is well-known, that both strict p and θ-refinability imply θ-refinability,but we dont'know if strict p (or θ-refinability) implies θ-refinability, andour paper is just discussing some facts related to this problem. Theorem 1. Let X be a completely regular locally compact space, then thefollowing conditions are mutually equivalent:
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收稿时间: | 9/7/1985 12:00:00 AM |
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