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

Saharon Shelah

doi:10.4064/fm-153-3-199-275

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

Saharon Shelah^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	199-275
Number of pages	77
Journal	Fundamenta Mathematicae
Volume	153
Issue number	3
DOIs	https://doi.org/10.4064/fm-153-3-199-275
State	Published - 1997

Access to Document

10.4064/fm-153-3-199-275

Cite this

@article{25dc9fcfbe214f3aa451f4e034be58b0,

title = "σ-Entangled linear orders and narrowness of products of Boolean algebras",

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.",

author = "Saharon Shelah",

year = "1997",

doi = "10.4064/fm-153-3-199-275",

language = "אנגלית",

volume = "153",

pages = "199--275",

journal = "Fundamenta Mathematicae",

issn = "0016-2736",

publisher = "Institute of Mathematics, Polish Academy of Sciences",

number = "3",

}

TY - JOUR

T1 - σ-Entangled linear orders and narrowness of products of Boolean algebras

AU - Shelah, Saharon

PY - 1997

Y1 - 1997

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/0013476932

U2 - 10.4064/fm-153-3-199-275

DO - 10.4064/fm-153-3-199-275

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:0013476932

SN - 0016-2736

VL - 153

SP - 199

EP - 275

JO - Fundamenta Mathematicae

JF - Fundamenta Mathematicae

IS - 3

ER -

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

Abstract

Access to Document

Other files and links

Fingerprint

Cite this