How to force a countably tight, initially ω1-compact and non-compact space?
Abstract
Improving a result of M. Rabus we force a normal, locally compact, 0-dimensional,Frechet-Uryson, initially omega1-compact and non-compact space X of size omega2 having the following property: for every open (or closed) set A in X we have |A|<omega2 or |X|<omega2.
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