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arxiv: math/9411208 · v1 · submitted 1994-11-22 · 🧮 math.LO

Semi-Cohen Versus Cohen Algebras

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keywords algebrascohenbooleansemi-cohenthereargumentcannotcomplete
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We show that there are semi-Cohen Boolean algebras which cannot be completely embedded into Cohen Boolean algebras. Using the ideas from this proof, we give a simpler argument for a theorem of S. Koppelberg and S. Shelah, stating that there are complete subalgebras of Cohen algebras which are not Cohen themselves.

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