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Keywords:
uniform ultrafilter; axiom of choice; measurable cardinal; strongly compact cardinal
uniform ultrafilter; axiom of choice; measurable cardinal; strongly compact cardinal
Summary:
We study some limitations and possible occurrences of uniform ultrafilters on ordinals without the axiom of choice. We prove an Easton-like theorem about the possible spectrum of successors of regular cardinals which carry uniform ultrafilters; we also show that this spectrum is not necessarily closed.
References:
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