On singular stationarity I (mutual stationarity and ideal-based methods)

Omer Ben-Neria

doi:10.1016/j.aim.2019.106790

On singular stationarity I (mutual stationarity and ideal-based methods)

Omer Ben-Neria

Einstein Institute of Mathematics

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

6 Scopus citations

Abstract

We study several ideal-based constructions in the context of singular stationarity. By combining methods of strong ideals, supercompact embeddings, and Prikry-type posets, we obtain three consistency results concerning mutually stationary sets, and answer a well-known question of Foreman and Magidor ([7]) concerning stationary sequences on the first uncountable cardinals, ℵ_n, 1≤n<ω.

Original language	English
Article number	106790
Journal	Advances in Mathematics
Volume	356
DOIs	https://doi.org/10.1016/j.aim.2019.106790
State	Published - 7 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019 Elsevier Inc.

Keywords

Ideals
Mutually stationary
Prikry type forcing
Singular cardinal
Stationary sets

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10.1016/j.aim.2019.106790

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KW - Mutually stationary

KW - Prikry type forcing

KW - Singular cardinal

KW - Stationary sets

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On singular stationarity I (mutual stationarity and ideal-based methods)

Abstract

Bibliographical note

Keywords

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