DC Field
Value
Language
dc.contributor.author
Aksornthong, Navin
-
dc.contributor.author
Gappo, Takehiko
-
dc.contributor.author
Holland, James
-
dc.contributor.author
Sargsyan, Grigor
-
dc.date.accessioned
2026-01-19T08:01:00Z
-
dc.date.available
2026-01-19T08:01:00Z
-
dc.date.issued
2025-08
-
dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">Aksornthong, N., Gappo, T., Holland, J., &#38; Sargsyan, G. (2025). On ω-strongly measurable cardinals in ℙmax extensions. <i>Journal of Mathematical Logic</i>, <i>25</i>(2), Article 2450018. https://doi.org/10.1142/S0219061324500181</div> </div>
-
dc.identifier.issn
0219-0613
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/224770
-
dc.description.abstract
We show that in the Pmax extension of a certain Chang-type model of determinacy, if κ ∈ {ω₁, ω₂, ω₃}, then the restriction of the club filter on κ ∩ Cof(ω) to HOD is an ultrafilter in HOD. This answers Question 4.11 of [BNH23] raised by Ben-Neria and Hayut.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
-
dc.language.iso
en
-
dc.publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
-
dc.relation.ispartof
Journal of Mathematical Logic
-
dc.subject
determinacy
en
dc.subject
HOD conjecture
en
dc.subject
Inner model theory
en
dc.subject
ω-strongly measurable cardinals
en
dc.subject
ℙmax forcing
en
dc.title
On ω-strongly measurable cardinals in ℙmax extensions
en
dc.type
Article
en
dc.type
Artikel
de
dc.identifier.scopus
2-s2.0-105002556534
-
dc.identifier.url
https://api.elsevier.com/content/abstract/scopus_id/105002556534
-
dc.contributor.affiliation
IMPAN, Poland
-
dc.relation.grantno
I6087-N
-
dc.type.category
Original Research Article
-
tuw.container.volume
25
-
tuw.container.issue
2
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
wb.publication.intCoWork
International Co-publication
-
tuw.project.title
Klassifikation abgeleiteter Modelle der Determiniertheit
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Journal of Mathematical Logic
-
tuw.publication.orgunit
E104-08 - Forschungsbereich Mengenlehre
-
tuw.publisher.doi
10.1142/S0219061324500181
-
dc.date.onlinefirst
2024
-
dc.identifier.articleid
2450018
-
dc.identifier.eissn
1793-6691
-
dc.description.numberOfPages
22
-
tuw.author.orcid
0009-0006-2178-9751
-
tuw.author.orcid
0009-0008-2012-1439
-
wb.sci
true
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.openairetype
research article
-
item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
-
item.cerifentitytype
Publications
-
item.languageiso639-1
en
-
item.grantfulltext
restricted
-
item.fulltext
no Fulltext
-
crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
-
crisitem.author.dept
IMPAN, Poland
-
crisitem.author.orcid
0009-0006-2178-9751
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
crisitem.project.funder
FWF - Österr. Wissenschaftsfonds
-
crisitem.project.grantno
I6087-N
-
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