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Two consistency results concerning thin-tall Boolean algebras

Authors:	Winfried Just

Affiliation:	(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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