The ultrafilter number and

DOI10.4153/S0008414X21000614OpenAlexW3208015854MaRDI QIDQ5883698

Osvaldo Guzmán González

Publication date: 22 March 2023

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4153/s0008414x21000614

zbMATH Keywords

ultrafilter numberiterated forcingultrafiltersMAD familiescardinal invariants of the continuumcontinous colorings

Mathematics Subject Classification ID

Consistency and independence results (03E35) Other combinatorial set theory (03E05) Cardinal characteristics of the continuum (03E17)

Related Items (1)

Free sequences in \({\mathscr{P}}( \omega) /\mathrm{fin}\)

Cites Work

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• CON(\(\mathfrak u>\mathfrak i\))
• Two cardinal invariants of the continuum \(({\mathfrak d} <{\mathfrak a})\) and FS linearly ordered iterated forcing
• Convex decompositions in the plane and continuous pair colorings of the irrationals
• Free sequences in \({\mathscr{P}}( \omega) /\mathrm{fin}\)
• There are no P-points in Silver extensions
• A dual open coloring axiom
• Another ♦-like principle
• Proper Forcing
• Combinatorial Cardinal Characteristics of the Continuum
• CONTINUOUS RAMSEY THEORY ON POLISH SPACES AND COVERING THE PLANE BY FUNCTIONS
• α-Properness and Axiom A

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