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Two consistency results concerning thin-tall Boolean algebras

Authors:	Winfried Just

Institution:	(1) Warsaw University, Warsaw, Poland

Abstract:	In this paper we show that the following is relatively consistent withZFC +CH: There is no superatomic Boolean algebra of height ₂+1 and width, and there is no superatomic Boolean algebraA with $\left\| {At(A)} \right\| = \omega , \omega \leqslant \left\| {At^{(\alpha )} (A)} \right\| \leqslant \omega _1$ for 0<<₁ and $\left\| {At^{(\omega _1 )} (A)} \right\| = \omega _2$ Presented by J. Mycielski.

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