On densities of box products
Logic
2009-09-25 v1
Abstract
We construct two universes V_1, V_2 satisfying the following: GCH below \aleph_\omega, 2^{\aleph_\omega} = \aleph_{\omega+2} and the topological density of the space 2^{\aleph_\omega} with \aleph_0 box product topology is \aleph_{\omega+1} in V_1 and \aleph_{\omega+2} in V_2. Further related results are discussed as well.
Cite
@article{arxiv.math/9603206,
title = {On densities of box products},
author = {Moti Gitik and Saharon Shelah},
journal= {arXiv preprint arXiv:math/9603206},
year = {2009}
}