The distributivity numbers of finite products of $\mathcal P(ω)/{\rm fin}$
Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 81-93
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
Generalizing [ShSp], for every n ω we construct a ZFC-model where ℌ(n), the distributivity number of r.o.$(P(ω)/fin)^n$, is greater than ℌ(n+1). This answers an old problem of Balcar, Pelant and Simon (see [BaPeSi]). We also show that both Laver and Miller forcings collapse the continuum to ℌ(n) for every n ω, hence by the first result, consistently they collapse it below ℌ(n).
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title = {The distributivity numbers of finite products of $\mathcal P(\ensuremath{\omega})/{\rm fin}$},
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Saharon Shelah; Otmar Spinas. The distributivity numbers of finite products of $\mathcal P(ω)/{\rm fin}$. Fundamenta Mathematicae, Tome 158 (1998) no. 1, pp. 81-93. doi: 10.4064/fm-158-1-81-93
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