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S-弱θ-Lindel?ff加细空间

Wen SUN,Zhao-rong HE

Journal of Shandong University of Technology(Natural Science Edition)（2018）

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Abstract
结合弱θ-加细空间、θ-加细空间、Lindel?ff空间以及S-仿紧空间的概念和有关性质,新引入了S-弱θ-Lindel?ff加细空间和S-θ-Lindel?ff加细空间.然后在拓扑空间中半开集上研究了S-弱θ-Lindel?ff加细空间和S-θ-Lindel?ff加细空间的刻画性质、完备性、映射性质以及两者之间的关系,并得出几个主要结果.如完备的S-弱θ-Lindel?ff加细空间是S-次仿紧空间;S-弱θ-Lindel?ff加细空间在闭Lindel?ff映射下的像是S-弱θ-Lindel?ff加细空间等.
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Key words
S-weak θ-Lindel?ff refinable,S-θ-Lindel?ff refinable,semi-open set,perfect space,closed Lindel?ff mapping
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