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Title

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

Authors 1, 2

Affiliations

  1. Institute of Mathematics, The Hebrew University, 91 904 Jerusalem, Israel
  2. Department of Mathematics, Rutgers University, New Brunswick, New Jersey 08854, U.S.A.

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.

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Fundamenta Mathematicae
1997/153/3
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Pages:
199-275
Main language of publication
English
Received
1994-06-26
Accepted
1996-12-17
Published
1997
Exact and natural sciences