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arXiv · 0710.2768

On a problem of Juhasz and van Mill

Saharon Shelah·Boaz Tsaban
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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_.

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Saharon Shelah, Boaz Tsaban. 2007-10-15. On a problem of Juhasz and van Mill. https://arxiv.org/abs/0710.2768

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