<Emphasis Type="Italic">LJ</Emphasis>-spaces |
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Authors: | Yin-Zhu Gao |
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Institution: | (1) Department of Mathematics, Nanjing University, Nanjing, 210093, P. R. China |
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Abstract: | In this paper LJ-spaces are introduced and studied. They are a common generalization of Lindelöf spaces and J-spaces researched by E. Michael. A space X is called an LJ-space if, whenever {A, B} is a closed cover of X with A ∩ B compact, then A or B is Lindelöf. Semi-strong LJ-spaces and strong LJ-spaces are also defined and investigated. It is demonstrated that the three spaces are different and have interesting properties and behaviors. |
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Keywords: | LJ-spaces Lindel?f J-spaces L-map (countably) compact perfect map order topology connected topological linear spaces |
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