2018/06/30 by Lyubomyr Zdomskyy
Mathematics · #math.GN #math.LO #msc:03E05 #msc:03E35 #msc:54C50 #msc:54D20.
paper · pdf · doi:10.1016/j.aim.2018.06.016
published as Advances in Mathematics 335 (2018), 170-179 · arXiv admin note: text overlap with arXiv:1712.03899
arxiv created 2018/09/21 · arxiv updated 2018/09/25
We prove that in the Miller model the Menger property is preserved by finite products of metrizable spaces. This answers several open questions and gives another instance of the interplay between classical forcing posets with fusion and combinatorial covering properties in topology.