On cuts in ultraproducts of linear orders i

Mohammad Golshani; Saharon Shelah

doi:10.1142/S0219061316500082

On cuts in ultraproducts of linear orders i

Mohammad Golshani, Saharon Shelah

Einstein Institute of Mathematics

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

2 Scopus citations

Abstract

For an ultrafilter D on a cardinal κ, we wonder for which pair (θ₁, θ₂) of regular cardinals, we have: for any (θ₁ + θ₂)+-saturated dense linear order J, J^κ/D has a cut of cofinality (θ₁, θ₂). We deal mainly with the case θ₁, θ₂ > 2^κ.

Original language	English
Article number	1650008
Journal	Journal of Mathematical Logic
Volume	16
Issue number	2
DOIs	https://doi.org/10.1142/S0219061316500082
State	Published - 1 Dec 2016

Bibliographical note

Publisher Copyright:
© 2016 World Scientific Publishing Company.

Keywords

cuts
saturated linear orders
Ultraproduct

Access to Document

10.1142/S0219061316500082

Cite this

@article{555f7932d6ff41d39210e104781727a8,

title = "On cuts in ultraproducts of linear orders i",

abstract = "For an ultrafilter D on a cardinal κ, we wonder for which pair (θ1, θ2) of regular cardinals, we have: for any (θ1 + θ2)+-saturated dense linear order J, Jκ/D has a cut of cofinality (θ1, θ2). We deal mainly with the case θ1, θ2 > 2κ.",

keywords = "cuts, saturated linear orders, Ultraproduct",

author = "Mohammad Golshani and Saharon Shelah",

note = "Publisher Copyright: {\textcopyright} 2016 World Scientific Publishing Company.",

year = "2016",

month = dec,

day = "1",

doi = "10.1142/S0219061316500082",

language = "אנגלית",

volume = "16",

journal = "Journal of Mathematical Logic",

issn = "0219-0613",

publisher = "World Scientific Publishing Co. Pte Ltd",

number = "2",

}

TY - JOUR

T1 - On cuts in ultraproducts of linear orders i

AU - Golshani, Mohammad

AU - Shelah, Saharon

PY - 2016/12/1

Y1 - 2016/12/1

N2 - For an ultrafilter D on a cardinal κ, we wonder for which pair (θ1, θ2) of regular cardinals, we have: for any (θ1 + θ2)+-saturated dense linear order J, Jκ/D has a cut of cofinality (θ1, θ2). We deal mainly with the case θ1, θ2 > 2κ.

AB - For an ultrafilter D on a cardinal κ, we wonder for which pair (θ1, θ2) of regular cardinals, we have: for any (θ1 + θ2)+-saturated dense linear order J, Jκ/D has a cut of cofinality (θ1, θ2). We deal mainly with the case θ1, θ2 > 2κ.

KW - cuts

KW - saturated linear orders

KW - Ultraproduct

UR - http://www.scopus.com/inward/record.url?scp=84991270610&partnerID=8YFLogxK

U2 - 10.1142/S0219061316500082

DO - 10.1142/S0219061316500082

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

AN - SCOPUS:84991270610

SN - 0219-0613

VL - 16

JO - Journal of Mathematical Logic

JF - Journal of Mathematical Logic

IS - 2

M1 - 1650008

ER -

On cuts in ultraproducts of linear orders i

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this