Multiplicative finite embeddability vs divisibility of ultrafilters

DOI10.1007/s00153-021-00799-yOpenAlexW3206092361MaRDI QIDQ2144619

Boris Šobot

Publication date: 14 June 2022

Published in: Archive for Mathematical Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.08702

zbMATH Keywords

divisibilityultrafilterStone-Čech compactificationfinite embeddability

Mathematics Subject Classification ID

Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Nonstandard models of arithmetic (03H15) Other combinatorial set theory (03E05) Special constructions of topological spaces (spaces of ultrafilters, etc.) (54D80) Connections of number theory and logic (11U99)

Cites Work

• \(\mathcal {F}\)-finite embeddabilities of sets and ultrafilters
• Algebra in the Stone-Čech compactification. Theory and applications
• \(\widetilde{|}\)-divisibility of ultrafilters
• Finite Embeddability of Sets and Ultrafilters
• Ultrafilters maximal for finite embeddability
• Divisibility in the Stone-\v{C}ech compactification
• Divisibility orders in βN
• Embeddability Properties of Difference Sets
• More about divisibility in βN
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