Discrete subspaces of countably tight compacta
Annals of Pure and Applied Logic 140 (1):72-74 (2006)
Abstract
Our main result is that the following cardinal arithmetic assumption, which is a slight weakening of GCH, “2κ is a finite successor of κ for every cardinal κ”, implies that in any countably tight compactum X there is a discrete subspace D with . This yields a confirmation of Alan Dow’s Conjecture 2 from [A. Dow, Closures of discrete sets in compact spaces, Studia Math. Sci. Hung. 42 227–234]DOI
10.1016/j.apal.2005.09.006
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