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Paracompact locally Lindel&#246;f spaces and <Emphasis Type=”Italic”>L</Emphasis>-systems

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Summary

We establish relationships between paracompact locally Lindel&ouml;f spaces and all kinds of spaces with <Emphasis Type=”Italic”>L</Emphasis>-systems by means of closed mappings, weakly perfect mappings and quotient mappings. In particular, we obtain some characterizations of paracompact locally Lindel&ouml;f spaces. Interestingly, they are also characterized as weakly perfect inverse images of locally separable metric spaces.

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  1. Department of Mathematics, Zhangzhou Teachers College, Zhangzhou, Fujian 36300, P.R. China

    Jinjin Li

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  1. Jinjin Li
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Li, J. Paracompact locally Lindel&#246;f spaces and <Emphasis Type=”Italic”>L</Emphasis>-systems. Acta Math Hung 107, 65–70 (2005). https://doi.org/10.1007/s10474-005-0178-y

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  • DOI: https://doi.org/10.1007/s10474-005-0178-y

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