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arXiv 1995-05-08 0 views

How to force a countably tight, initially ω₁-compact and non-compact space?

Juhász, I. · Soukup, Lajos

Original · EN

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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