Sh:921

• Shelah, S., & Tsaban, B. (2010). On a problem of Juhász and van Mill. Topology Proc., 36, 385–392. arXiv: 0710.2768 MR: 2646986
• 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)

@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}
}