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Mathematics > General Topology

arXiv:1405.6356 (math)
[Submitted on 25 May 2014]

Title:Nonexistence of Countable Extremally Disconnected Groups with Many Open Subgroups

Authors:Ol'ga Sipacheva
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Abstract:It is proved that the existence of a countable extremally disconnected Boolean topological group containing a family of open subgroups whose intersection has empty interior implies the existence of a rapid ultrafilter.
Subjects: General Topology (math.GN)
MSC classes: 22A05, 54G05
Cite as: arXiv:1405.6356 [math.GN]
  (or arXiv:1405.6356v1 [math.GN] for this version)
  https://doi.org/10.48550/arXiv.1405.6356

Submission history

From: Ol'ga Sipacheva [view email]
[v1] Sun, 25 May 2014 02:58:46 UTC (8 KB)
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