paper

Preserving the Lindelöf property under forcing extensions

arXiv:1002.0894

Abstract

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

v2: minor corrections