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

Saharon Shelah; Otmar Spinas

doi:10.1090/s0002-9947-99-02270-9

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

Saharon Shelah^*
, Otmar Spinas

^*Corresponding author for this work

Einstein Institute of Mathematics

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

18 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 language	English
Pages (from-to)	2023-2047
Number of pages	25
Journal	Transactions of the American Mathematical Society
Volume	352
Issue number	5
DOIs	https://doi.org/10.1090/s0002-9947-99-02270-9
State	Published - 2000

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AB - 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.

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

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