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arxiv: math/0006219 · v1 · pith:XI43JIIKnew · submitted 2000-06-28 · 🧮 math.LO

Historic forcing for Depth

classification 🧮 math.LO
keywords lambdadepththetaalgebrabooleancardinalsconsistentlyevery
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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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