Resolving a question of Arkhangel'skiĭ's

Volume 192 / 2006

Michael G. Charalambous Fundamenta Mathematicae 192 (2006), 67-76 MSC: Primary 54F45; Secondary 54E20, 54G20. DOI: 10.4064/fm192-1-4


We construct in ZFC a cosmic space that, despite being the union of countably many metrizable subspaces, has covering dimension equal to 1 and inductive dimensions equal to 2.


  • Michael G. CharalambousDepartment of Mathematics
    University of the Aegean
    83 200, Karlovassi, Samos, Greece

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