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Remarks on the preservation of topological covering properties under Cohen forcing

2010/02/23 by Masaru Kada, Kada, Masaru
Mathematics · #03E40 #54D20 #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Homotopy and Cohomology in Algebraic Topology #Logic (math.LO) #math.GN #math.LO #msc:03E40 #msc:54D20

paper · pdf · doi:10.48550/arxiv.1002.4419

arxiv created 2010/02/23 · openalex publication_date 2010/02/23 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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