Remarks on the preservation of topological covering properties under Cohen forcing

Details Remarks on the preservation of topological covering properties under Cohen forcing Remarks on the preservation of topological covering properties under Cohen forcing

2010-02-23

arxiv.org/abs/1002.4419v1

Mathematics

General Topology

Scientific paper

Iwasa investigated the preservation of various covering properties of
opological spaces under Cohen forcing. By improving the argument in Iwasa's
paper, we prove that the Rothberger property, the Menger property and selective
screenability are also preserved under Cohen forcing and forcing with the
measure algebra.

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