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Mathematics > General Topology

arXiv:0710.2768 (math)
[Submitted on 15 Oct 2007 (v1), last revised 4 Nov 2010 (this version, v2)]

Title:On a problem of Juhasz and van Mill

Authors: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_.
Subjects: General Topology (math.GN)
Report number: ShTb:921
Cite as: arXiv:0710.2768 [math.GN]
  (or arXiv:0710.2768v2 [math.GN] for this version)
  https://doi.org/10.48550/arXiv.0710.2768
Journal reference: Topology Proceedings 36 (2010), 385-392

Submission history

From: Boaz Tsaban [view email]
[v1] Mon, 15 Oct 2007 10:34:04 UTC (6 KB)
[v2] Thu, 4 Nov 2010 19:36:09 UTC (6 KB)
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