Resolving a question of Arkhangel'skiĭ's
Volume 192 / 2006
Fundamenta Mathematicae 192 (2006), 67-76
MSC: Primary 54F45; Secondary 54E20, 54G20.
DOI: 10.4064/fm192-1-4
Abstract
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.