Forcing with filters and complete combinatorics (Q1823241)
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scientific article; zbMATH DE number 4114618
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Forcing with filters and complete combinatorics |
scientific article; zbMATH DE number 4114618 |
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Forcing with filters and complete combinatorics (English)
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1989
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The author produces examples of ultrafilters with some special properties by methods of forcing. It is shown that for most of the partial orders producing an ultrafilter, the combinatorics satisfied by this filter is complete, that is, any ultrafilter satisfying this combinatorics is generic after Lévy-collapsing. The problem of Baumgartner and Taylor is solved by producing, via forcing, some special ultrafilters.
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linear order
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ultrafilters
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partial orders
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combinatorics
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0.92504597
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0.9100479
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0.8928799
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0.89099157
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0.8883238
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0.87290233
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0.87169635
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