Nonexistence of Countable Extremally Disconnected Groups with Many Open Subgroups
classification
🧮 math.GN
keywords
countabledisconnectedexistenceextremallyopensubgroupsbooleancontaining
read the original 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.
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