%0 Journal Article
%T On a problem of Juhasz and van Mill
%A Saharon Shelah
%A Boaz Tsaban
%J Mathematics
%D 2007
%I arXiv
%X 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_.
%U http://arxiv.org/abs/0710.2768v2