Remarks on cellularity in products

Stevo Todorčević

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σ-Entangled linear orders and narrowness of products of Boolean algebras

Saharon Shelah (1997)

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We investigate σ-entangled linear orders and narrowness of Boolean algebras. We show existence of σ-entangled linear orders in many cardinals, and we build Boolean algebras with neither large chains nor large pies. We study the behavior of these notions in ultraproducts.