Reflection and not SCH with overlapping extenders

Moti Gitik

doi:10.1007/s00153-021-00805-3

Reflection and not SCH with overlapping extenders

Moti Gitik^*

^*Corresponding author for this work

School of Mathematical Sciences

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

2 Scopus citations

Abstract

We use the forcing with overlapping extenders (Gitik in Blowing up the power of a singular cardinal of uncountable cofinality, to appear in JSL) to give a direct construction of a model of ¬ SCH+Reflection.

Original language	English
Pages (from-to)	591-597
Number of pages	7
Journal	Archive for Mathematical Logic
Volume	61
Issue number	5-6
DOIs	https://doi.org/10.1007/s00153-021-00805-3
State	Published - Jul 2022

Keywords

Extenders
Forcing
Reflection
Singular cardinals

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10.1007/s00153-021-00805-3

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title = "Reflection and not SCH with overlapping extenders",

abstract = "We use the forcing with overlapping extenders (Gitik in Blowing up the power of a singular cardinal of uncountable cofinality, to appear in JSL) to give a direct construction of a model of ¬ SCH+Reflection.",

keywords = "Extenders, Forcing, Reflection, Singular cardinals",

author = "Moti Gitik",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

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doi = "10.1007/s00153-021-00805-3",

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KW - Extenders

KW - Forcing

KW - Reflection

KW - Singular cardinals

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JO - Archive for Mathematical Logic

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Reflection and not SCH with overlapping extenders

Abstract

Keywords

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