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Relations between the $${mathcal {}}$$-ultrafilters
Authors:Jianyong Hong  Shuguo Zhang
Affiliation:1.College of Mathematics,Sichuan University,Chengdu,China
Abstract:
Under CH we show the following results:
  1. (1)
    There is a discrete ultrafilter which is not a ({mathcal {Z}}_{0})-ultrafilter.
     
  2. (2)
    There is a (sigma )-compact ultrafilter which is not a ({mathcal {Z}}_{0})-ultrafilter.
     
  3. (3)
    There is a ({mathcal {J}}_{omega ^{3}})-ultrafilter which is not a ({mathcal {Z}}_{0})-ultrafilter.
     
Keywords:
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