Geodesic
Distinguishing Lindelöfness and inverse Lindelöfness
Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 171-176.

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On $\omega _1$ a Hausdorff inverse Lindelöf non Lindelöf topology has been constructed.
Classification : 03E35, 03E50, 54A25, 54A35, 54D20
Keywords: Lindelöfness; inverse Lindelöfness; Hausdorffness 
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     title = {Distinguishing {Lindel\"ofness} and inverse {Lindel\"ofness}},
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Malykhin, V. I. Distinguishing Lindelöfness and inverse Lindelöfness. Commentationes Mathematicae Universitatis Carolinae, Tome 36 (1995) no. 1, pp. 171-176. http://geodesic.mathdoc.fr/item/CMUC_1995__36_1_a18/