Preserving the Lindelöf property under forcing extensions

Details Preserving the Lindelöf property under forcing extensions Preserving the Lindelöf property under forcing extensions

2010-02-04

arxiv.org/abs/1002.0894v3

Mathematics

General Topology

v2: minor corrections

Scientific paper

We investigate preservation of the Lindel\"of property of topological spaces
under forcing extensions. We give sufficient conditions for a forcing notion to
preserve several strengthenings of the Lindel\"of property, such as
indestructible Lindel\"of property, the Rothberger property and being a
Lindel\"of P-space.

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