Lindelof spaces of singular density
Logic
2007-05-23 v1 General Topology
Abstract
A cardinal lambda is called omega-inaccessible if for all mu < lambda we have mu^omega<lambda. We show that for every omega-inaccessible cardinal lambda there is a CCC (hence cardinality and cofinality preserving) forcing that adds a hereditarily Lindelof regular space of density lambda. This extends an analogous earlier result of ours that only worked for regular lambda.
Keywords
Cite
@article{arxiv.math/0702295,
title = {Lindelof spaces of singular density},
author = {Istvan Juhasz and Saharon Shelah},
journal= {arXiv preprint arXiv:math/0702295},
year = {2007}
}