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Historic forcing for Depth

Andrzej Roslanowski·Saharon Shelah
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Abstract

We show that, consistently, for some regular cardinals theta<lambda, there exists a Boolean algebra B such that B=lambda^+ and for every subalgebra B' of B of size lambda^+ we have Depth(B')=theta.

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Andrzej Roslanowski, Saharon Shelah. 2000-06-28. Historic forcing for Depth. https://arxiv.org/abs/math/0006219

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