Joanna Jureczko
Published 2023-03-28Version 1
We show that there is a set of $2^{2^{\kappa}}$ ultrafilters incomparable in Rudin-Frol\'ik order of $\beta \kappa \setminus \kappa$, where $\kappa$ is regular, for which no subset with more than one element has an infimum.
Comments: arXiv admin note: substantial text overlap with arXiv:2304.00097. substantial text overlap with arXiv:2304.01398
Chains in Rudin-Frolik order for regulars
Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars
Special subsets of the generalized Cantor space $2^κ$ and generalized Baire space $κ^κ$
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