How to force a countably tight, initially {\omega}_1-compact and non-compact space?

I. Juh\'asz; Lajos Soukup

arxiv: math/9505203 · v1 · submitted 1995-05-08 · 🧮 math.LO

How to force a countably tight, initially {ω}₁-compact and non-compact space?

I. Juh\'asz , Lajos Soukup This is my paper

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keywords omegacompactforceinitiallynon-compactspaceclosedcountably

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Improving a result of M. Rabus we force a normal, locally compact, 0-dimensional,Frechet-Uryson, initially omega_1-compact and non-compact space X of size omega_2 having the following property: for every open (or closed) set A in X we have |A|<omega_2 or |X\A|<omega_2.

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How to force a countably tight, initially {ω}₁-compact and non-compact space?

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