How to force a countably tight, initially {\omega}_1-compact and non-compact space?
Logic
2010-03-17 v1
Abstract
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.
Keywords
Cite
@article{arxiv.math/9505203,
title = {How to force a countably tight, initially {\omega}_1-compact and non-compact space?},
author = {I. Juhász and Lajos Soukup},
journal= {arXiv preprint arXiv:math/9505203},
year = {2010}
}