Generating ultrafilters in a reasonable way

Andrzej Rosłanowski; Saharon Shelah

doi:10.1002/malq.200610055

Generating ultrafilters in a reasonable way

Andrzej Rosłanowski^*
, Saharon Shelah

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	202-220
Number of pages	19
Journal	Mathematical Logic Quarterly
Volume	54
Issue number	2
DOIs	https://doi.org/10.1002/malq.200610055
State	Published - Apr 2008

Keywords

Forcing
Generating a filter
Reasonable ultrafilter
System of local filters
Uncountable cardinals

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10.1002/malq.200610055

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KW - Generating a filter

KW - Reasonable ultrafilter

KW - System of local filters

KW - Uncountable cardinals

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Generating ultrafilters in a reasonable way

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Keywords

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