The left side of Cichoń’s diagram

Martin Goldstern; Diego Alejandro Mejía; Saharon Shelah

doi:10.1090/proc/13161

The left side of Cichoń’s diagram

Martin Goldstern
, Diego Alejandro Mejía
, Saharon Shelah

Einstein Institute of Mathematics

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

14 Scopus citations

Abstract

Using a finite support iteration of ccc forcings, we construct a model of N₁ < add(N) < cov(N) < b < non(ℳ) < cov(ℳ) = c.

Original language	English
Pages (from-to)	4025-4042
Number of pages	18
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	9
DOIs	https://doi.org/10.1090/proc/13161
State	Published - 2016

Bibliographical note

Publisher Copyright:
© 2016 American Mathematical Society.

Keywords

Cichoń’s diagram
Eventually different reals
Finite support iteration
Forcing

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10.1090/proc/13161

Cite this

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title = "The left side of Cicho{\'n}{\textquoteright}s diagram",

abstract = "Using a finite support iteration of ccc forcings, we construct a model of N1 < add(N) < cov(N) < b < non(ℳ) < cov(ℳ) = c.",

keywords = "Cicho{\'n}{\textquoteright}s diagram, Eventually different reals, Finite support iteration, Forcing",

author = "Martin Goldstern and Mej{\'i}a, \{Diego Alejandro\} and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} 2016 American Mathematical Society.",

year = "2016",

doi = "10.1090/proc/13161",

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AU - Goldstern, Martin

AU - Mejía, Diego Alejandro

AU - Shelah, Saharon

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AB - Using a finite support iteration of ccc forcings, we construct a model of N1 < add(N) < cov(N) < b < non(ℳ) < cov(ℳ) = c.

KW - Cichoń’s diagram

KW - Eventually different reals

KW - Finite support iteration

KW - Forcing

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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The left side of Cichoń’s diagram

Abstract

Bibliographical note

Keywords

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