Diagonal supercompact Radin forcing

Omer Ben-Neria; Chris Lambie-Hanson; Spencer Unger

doi:10.1016/j.apal.2020.102828

Diagonal supercompact Radin forcing

Omer Ben-Neria, Chris Lambie-Hanson, Spencer Unger^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

Motivated by the goal of constructing a model in which there are no κ-Aronszajn trees for any regular κ>ℵ₁, we produce a model with many singular cardinals where both the singular cardinals hypothesis and weak square fail.

Original language	English
Article number	102828
Journal	Annals of Pure and Applied Logic
Volume	171
Issue number	10
DOIs	https://doi.org/10.1016/j.apal.2020.102828
State	Published - Dec 2020

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Radin forcing
Supercompact cardinals
Weak square

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10.1016/j.apal.2020.102828

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title = "Diagonal supercompact Radin forcing",

abstract = "Motivated by the goal of constructing a model in which there are no κ-Aronszajn trees for any regular κ>ℵ1, we produce a model with many singular cardinals where both the singular cardinals hypothesis and weak square fail.",

keywords = "Radin forcing, Supercompact cardinals, Weak square",

author = "Omer Ben-Neria and Chris Lambie-Hanson and Spencer Unger",

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doi = "10.1016/j.apal.2020.102828",

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AU - Unger, Spencer

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KW - Radin forcing

KW - Supercompact cardinals

KW - Weak square

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Diagonal supercompact Radin forcing

Abstract

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Keywords

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