The distributivity numbers of of P(om) /fin and its square

1996/06/15 by Saharon Shelah, Shelah, Saharon, Otmar Spinas +1
Computer Science · Mathematics · #Advanced Topology and Set Theory #Computability, Logic, AI Algorithms #FOS: Mathematics #Limits and Structures in Graph Theory #Logic (math.LO)

paper · pdf · doi:10.48550/arxiv.math/9606227

openalex publication_date 1996/06/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that in a model obtained by forcing with a countable support iteration of length omega₂ of Mathias forcing h(2), the distributivity number of r.o.(P(omega)/fin)², is omega₁ but h, the one of P(omega)/fin, is omega₂.

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