A note on special subsets of the Rudin-Frolík order for regulars

DOI10.1515/MS-2023-0060arXiv2304.02143OpenAlexW4385578239MaRDI QIDQ6175355

Joanna Jureczko

Publication date: 18 August 2023

Published in: Mathematica Slovaca (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.02143

zbMATH Keywords

regular cardinalultrafiltersindependent familyRudin-Frolík order

Mathematics Subject Classification ID

Axiomatics of classical set theory and its fragments (03E30) Other classical set theory (including functions, relations, and set algebra) (03E20) Ordinal and cardinal numbers (03E10)

Cites Work

• Ultrafilters without immediate predecessors in Rudin-Frolik order for regulars
• Some constructions of ultrafilters over a measurable cardinal
• Limits in the uniform ultrafilters
• Ultrafilters over a measurable cardinal
• Set Theory
• Sums of ultrafilters
• Partial Orders on the Types in βN
• Ultrafilters on a countable set
• Decreasing Chains without Lower Bounds in the Rudin-Frolik Order
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