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Generating ultrafilters in a reasonable way
Author(s) -
Rosłanowski Andrzej,
Shelah Saharon
Publication year - 2008
Publication title -
mathematical logic quarterly
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.473
H-Index - 28
eISSN - 1521-3870
pISSN - 0942-5616
DOI - 10.1002/malq.200610055
Subject(s) - uncountable set , mathematics , filter (signal processing) , scheme (mathematics) , combinatorics , discrete mathematics , computer science , mathematical analysis , countable set , computer vision
We continue investigations of reasonable ultrafilters on uncountable cardinals defined in Shelah [8]. We introduce a general scheme of generating a filter on λ from filters on smaller sets and we investigate the combinatorics of objects obtained this way. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)