Abstract
We present some new results on union ultrafilters. We characterize stability for union ultrafilters and, as the main result, we construct a new kind of unordered union ultrafilter.
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Peter Krautzberger was partially supported by DFG-grant KR 3818.
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Krautzberger, P. On Union Ultrafilters. Order 29, 317–343 (2012). https://doi.org/10.1007/s11083-011-9223-3
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DOI: https://doi.org/10.1007/s11083-011-9223-3
Keywords
- Ultrafilter
- Idempotent ultrafilter
- Union ultrafilter
- Strongly summable ultrafilter
- Stone–Cech compactification
- Combinatorics
- Set theory
- Idempotent filter
- Forcing