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Abstract: We investigate preservation of the Lindel\-of property of topological spacesunder forcing extensions. We give sufficient conditions for a forcing notion topreserve several strengthenings of the Lindel\-of property, such asindestructible Lindel\-of property, the Rothberger property and being aLindel\-of P-space.



Author: Masaru Kada

Source: https://arxiv.org/



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