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Nonexistence of Countable Extremally Disconnected Groups with Many Open Subgroups

Year: 2014
Type: preprint
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.
Language: English
Open Access status: green
OpenAlex ID: W2760640559
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