On union ultrafilters
Peter Krautzberger
TL;DR
This paper explores properties of union ultrafilters, characterizing their stability and constructing a new type of unordered union ultrafilter, advancing understanding of their structure and classification.
Contribution
It introduces a characterization of stability for union ultrafilters and constructs a novel unordered union ultrafilter, expanding the taxonomy of ultrafilters.
Findings
Characterization of stability for union ultrafilters
Construction of a new unordered union ultrafilter
Advancement in ultrafilter taxonomy
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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Taxonomy
TopicsFunctional Equations Stability Results · Advanced Topology and Set Theory · Advanced Operator Algebra Research