On a problem of Juhasz and van Mill
General Topology
2010-11-05 v2
Abstract
A 27 years old and still open problem of Juhasz and van Mill asks whether there exists a cardinal kappa such that every regular dense in itself countably compact space has a dense in itself subset of cardinality at most kappa. We give a negative answer for the analogous question where_regular_ is weakened to_Hausdorff_, and_coutnably compact_ is strengthened to_sequentially compact_.
Keywords
Cite
@article{arxiv.0710.2768,
title = {On a problem of Juhasz and van Mill},
author = {Saharon Shelah and Boaz Tsaban},
journal= {arXiv preprint arXiv:0710.2768},
year = {2010}
}