The distributivity numbers of p(w)/fin and its square

Saharon Shelah*, Otmar Spinas

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

16 Scopus citations

Abstract

ABSTRACT. We show that in a model obtained by forcing with a countable support iteration of Mathias forcing of length U2, the distributivity number of "P(w)/fin is W2i whereas the distributivity number of r.o.(7'(ct')/fin)2 is u\. This answers a problem of Balcar, Pelant and Simon, and others.

Original languageEnglish
Pages (from-to)2023-2047
Number of pages25
JournalTransactions of the American Mathematical Society
Volume352
Issue number5
DOIs
StatePublished - 2000

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