Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars

DOI10.1007/S00025-022-01762-WarXiv2305.02794MaRDI QIDQ6435323

Joanna Jureczko

Publication date: 28 March 2023

Abstract: The aim of this paper is to construct ultrafilters without immediate predecessors in the Rudin-Frolik order in $$, where $kappa$ is a regular cardinal. This generalizes the problem posed by Peter Simon more than 40 years ago.

Mathematics Subject Classification ID

Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Other combinatorial set theory (03E05)

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