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

4 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

Access to Document

10.1016/j.aim.2019.106790

Cite this

@article{e501f0f90ca04be597135543125a8b10,

title = "On singular stationarity I (mutual stationarity and ideal-based methods)",

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, ℵn, 1≤n<ω.",

keywords = "Ideals, Mutually stationary, Prikry type forcing, Singular cardinal, Stationary sets",

author = "Omer Ben-Neria",

note = "Publisher Copyright: {\textcopyright} 2019 Elsevier Inc.",

year = "2019",

month = nov,

day = "7",

doi = "10.1016/j.aim.2019.106790",

language = "אנגלית",

volume = "356",

journal = "Advances in Mathematics",

issn = "0001-8708",

publisher = "Academic Press Inc.",

}

TY - JOUR

T1 - On singular stationarity I (mutual stationarity and ideal-based methods)

AU - Ben-Neria, Omer

PY - 2019/11/7

Y1 - 2019/11/7

N2 - 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, ℵn, 1≤n<ω.

AB - 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, ℵn, 1≤n<ω.

KW - Ideals

KW - Mutually stationary

KW - Prikry type forcing

KW - Singular cardinal

KW - Stationary sets

UR - http://www.scopus.com/inward/record.url?scp=85071491786&partnerID=8YFLogxK

U2 - 10.1016/j.aim.2019.106790

DO - 10.1016/j.aim.2019.106790

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85071491786

SN - 0001-8708

VL - 356

JO - Advances in Mathematics

JF - Advances in Mathematics

M1 - 106790

ER -

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

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this