Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis

Moti Gitik

doi:10.1142/S0219061320500130

Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis

Moti Gitik^*

^*Corresponding author for this work

School of Mathematical Sciences

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

2 Scopus citations

Abstract

Extender-based Prikry-Magidor forcing for overlapping extenders is introduced. As an application, models with strong forms of negations of the Shelah Weak Hypothesis for various cofinalities are constructed.

Original language	English
Article number	2050013
Journal	Journal of Mathematical Logic
Volume	20
Issue number	3
DOIs	https://doi.org/10.1142/S0219061320500130
State	Published - Dec 2020

Funding

Funders	Funder number
Israel Science Foundation	1216/18

Keywords

Shelah Weak Hypothesis
extender based forcing
overlapping extenders

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10.1142/S0219061320500130

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title = "Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis",

abstract = "Extender-based Prikry-Magidor forcing for overlapping extenders is introduced. As an application, models with strong forms of negations of the Shelah Weak Hypothesis for various cofinalities are constructed.",

keywords = "Shelah Weak Hypothesis, extender based forcing, overlapping extenders",

author = "Moti Gitik",

note = "Publisher Copyright: {\textcopyright} 2020 World Scientific Publishing Company.",

year = "2020",

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doi = "10.1142/S0219061320500130",

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AU - Gitik, Moti

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KW - extender based forcing

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Extender-based forcings with overlapping extenders and negations of the Shelah Weak Hypothesis

Abstract

Funding

Keywords

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