On singular stationarity II (Tight stationarity and extenders-based methods)

Omer Ben-Neria

doi:10.1017/jsl.2018.46

On singular stationarity II (Tight stationarity and extenders-based methods)

Omer Ben-Neria^*

^*Corresponding author for this work

Einstein Institute of Mathematics

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

3 Scopus citations

Abstract

We study the notion of tightly stationary sets which was introduced by Foreman and Magidor in [8]. We obtain two consistency results showing that certain sequences of regular cardinals {κ _n }n ≤ ω can have the property that in some generic extension, every ground-model sequence of fixed-cofinality stationary sets S _n ⊂ k _n is tightly stationary. The results are obtained using variations of the short-extenders forcing method.

Original language	English
Pages (from-to)	320-342
Number of pages	23
Journal	Journal of Symbolic Logic
Volume	84
Issue number	1
DOIs	https://doi.org/10.1017/jsl.2018.46
State	Published - 1 Mar 2019

Bibliographical note

Publisher Copyright:
© 2019 The Association for Symbolic Logic.

Keywords

Prikry forcing
extender forcing
singular cardinal
tight stationarity

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10.1017/jsl.2018.46

Cite this

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On singular stationarity II (Tight stationarity and extenders-based methods)

Abstract

Bibliographical note

Keywords

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