ADDING Nω-MANY COHEN REALS

Pedro Marun; Saharon Shelah; Corey Bacal Switzer

doi:10.1017/jsl.2026.10241

ADDING Nω-MANY COHEN REALS

Pedro Marun
, Saharon Shelah
, Corey Bacal Switzer^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

Abstract

Abstractly, the generic extensions after nω-many Cohen reals and nω+1-many Cohen reals must be different for reasons of uniform density of the relevant Boolean algebras. Nevertheless this is not satisfying and it would be nice to pin the difference between the two models down to some mathematical or combinatorial principle. In this paper we provide such a principle.

Original language	English
Journal	Journal of Symbolic Logic
DOIs	https://doi.org/10.1017/jsl.2026.10241
State	Accepted/In press - 2026

Bibliographical note

Publisher Copyright:
© 2026 Cambridge University Press. All rights reserved.

Keywords

Cohen reals
Forcing
Singular cardinals

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10.1017/jsl.2026.10241

Cite this

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title = "ADDING Nω-MANY COHEN REALS",

abstract = "Abstractly, the generic extensions after nω-many Cohen reals and nω+1-many Cohen reals must be different for reasons of uniform density of the relevant Boolean algebras. Nevertheless this is not satisfying and it would be nice to pin the difference between the two models down to some mathematical or combinatorial principle. In this paper we provide such a principle.",

keywords = "Cohen reals, Forcing, Singular cardinals",

author = "Pedro Marun and Saharon Shelah and Switzer, \{Corey Bacal\}",

year = "2026",

doi = "10.1017/jsl.2026.10241",

language = "אנגלית",

journal = "Journal of Symbolic Logic",

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AU - Shelah, Saharon

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KW - Cohen reals

KW - Forcing

KW - Singular cardinals

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ADDING Nω-MANY COHEN REALS

Abstract

Bibliographical note

Keywords

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