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

Volume 153 / 1997

Saharon Shelah Fundamenta Mathematicae 153 (1997), 199-275 DOI: 10.4064/fm-153-3-199-275

Abstract

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.

Authors

  • Saharon Shelah

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