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Physical Sciences and Mathematics Commons

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Applied Mathematics

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University of South Carolina

Faculty Publications

2007

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Full-Text Articles in Physical Sciences and Mathematics

Covering Properties And Cohen Forcing, Akira Iwasa Jan 2007

Covering Properties And Cohen Forcing, Akira Iwasa

Faculty Publications

We will show that adding Cohen reals preserves the covering property that every open cover has a σ-P Q refinement and deduce that adding Cohen reals preserves covering properties such as paracompactness, subparacompactness and screenability.