How to force a countably tight, initially ω_1-compact and non-compact space?

Mathematics – Logic

Scientific paper

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Scientific paper

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|

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