# Sh:921

• Shelah, S., & Tsaban, B. (2010). On a problem of Juhász and van Mill. Topology Proc., 36, 385–392.
• Abstract:
A 27 years old and still open problem of Juhász 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.
• Version 2007-10-14_11 (7p) published version (9p)
Bib entry
@article{Sh:921,
author = {Shelah, Saharon and Tsaban, Boaz},
title = {{On a problem of Juh\'asz and van Mill}},
journal = {Topology Proc.},
fjournal = {Topology Proceedings},
volume = {36},
year = {2010},
pages = {385--392},
issn = {0146-4124},
mrnumber = {2646986},
mrclass = {54D20 (54G12 54G20)},
note = {\href{https://arxiv.org/abs/0710.2768}{arXiv: 0710.2768}},
arxiv_number = {0710.2768}
}