Abstract
Under CH we show the following results:
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(1)
There is a discrete ultrafilter which is not a \({\mathcal {Z}}_{0}\)-ultrafilter.
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(2)
There is a \(\sigma \)-compact ultrafilter which is not a \({\mathcal {Z}}_{0}\)-ultrafilter.
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(3)
There is a \({\mathcal {J}}_{\omega ^{3}}\)-ultrafilter which is not a \({\mathcal {Z}}_{0}\)-ultrafilter.
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This work was supported by NSFC Grant #10971149 and #11271272.
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Hong, J., Zhang, S. Relations between the \({\mathcal {I}}\)-ultrafilters. Arch. Math. Logic 56, 161–173 (2017). https://doi.org/10.1007/s00153-016-0520-9
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DOI: https://doi.org/10.1007/s00153-016-0520-9