Ordinal ultrafilters versus P-hierarchy

DOI10.2478/S11533-013-0320-YzbMath1326.03055arXiv1201.2148OpenAlexW2082953299MaRDI QIDQ2440546

Andrzej Starosolski

Publication date: 19 March 2014

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.2148

zbMATH Keywords

P-hierarchyP-pointsmonotone sequential contour(relatively) RK-minimal pointsordinal ultrafilters

Mathematics Subject Classification ID

Continuum hypothesis and Martin's axiom (03E50) Other combinatorial set theory (03E05) Other classical set theory (including functions, relations, and set algebra) (03E20)

Related Items (5)

Continuous extension of maps between sequential cascades ⋮ Thin ultrafilters and the P-hierarchy of ultrafilters ⋮ How high can Baumgartner's \(\mathcal{I}\)-ultrafilters lie in the P-hierarchy? ⋮ Cascades, order, and ultrafilters ⋮ THE RUDIN–KEISLER ORDERING OF P-POINTS UNDER 𝔟 = 𝔠

Cites Work

• Gefilterte Summation von Filtern und iterierte Grenzprozesse. I
• Gefilterte Summation von Filtern und iterierte Grenzprozesse. II
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• Cascades, order, and ultrafilters
• Multisequences
• On the existence of P-points in the Stone-Čech compactification of integers
• Emploi des filtres sur N dans l'étude descriptive des fonctions
• Ultrafilters on ω
• P-hierarchy on βω
• Sums of ultrafilters
• A few special ordinal ultrafilters
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