Square and Delta reflection

Laura Fontanella; Yair Hayut

doi:10.1016/j.apal.2016.04.002

Square and Delta reflection

Laura Fontanella^*, Yair Hayut

^*Corresponding author for this work

Einstein Institute of Mathematics

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

5 Scopus citations

Abstract

Starting from infinitely many supercompact cardinals, we force a model of ZFC where ℵω2+1 satisfies simultaneously a strong principle of reflection, called δ-reflection, and a version of the square principle, denoted □(ℵω2+1). Thus we show that ℵω2+1 can satisfy simultaneously a strong reflection principle and an anti-reflection principle.

Original language	English
Pages (from-to)	663-683
Number of pages	21
Journal	Annals of Pure and Applied Logic
Volume	167
Issue number	8
DOIs	https://doi.org/10.1016/j.apal.2016.04.002
State	Published - 1 Aug 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Keywords

Forcing
Large cardinals
Primary
Reflection principles
Secondary
Square

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10.1016/j.apal.2016.04.002

Cite this

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KW - Forcing

KW - Large cardinals

KW - Primary

KW - Reflection principles

KW - Secondary

KW - Square

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Square and Delta reflection

Abstract

Bibliographical note

Keywords

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