DC Field
Value
Language
dc.contributor.author
Hoffelner, Stefan
-
dc.date.accessioned
2025-12-19T14:52:53Z
-
dc.date.available
2025-12-19T14:52:53Z
-
dc.date.issued
2025
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dc.identifier.citation
<div class="csl-bib-body"> <div class="csl-entry">Hoffelner, S. (2025). The global Σn+21-uniformization property and BPFA. <i>Advances in Mathematics</i>, <i>470</i>, Article 110272. https://doi.org/10.1016/j.aim.2025.110272</div> </div>
-
dc.identifier.issn
0001-8708
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/222898
-
dc.description.abstract
We show that given a reflecting cardinal, one can produce a model of BPFA where the Σ<inf>n</inf><sup>1</sup>-uniformization property holds simultaneously for all n≥2 which stands in stark constrast to the situation under PFA. We do this via a new forcing construction which gets rid of the delimitations caused by a good projective well-order of the reals, which has been the sole tool to obtain global Σ-uniformization since 1959.
en
dc.language.iso
en
-
dc.publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
-
dc.relation.ispartof
Advances in Mathematics
-
dc.subject
Set Theory
en
dc.subject
Descriptive Set Theory
en
dc.subject
Projective sets
en
dc.subject
Forcing Axioms
en
dc.title
The global Σn+21-uniformization property and BPFA
en
dc.type
Article
en
dc.type
Artikel
de
dc.identifier.scopus
2-s2.0-105002017825
-
dc.identifier.url
https://api.elsevier.com/content/abstract/scopus_id/105002017825
-
dc.type.category
Original Research Article
-
tuw.container.volume
470
-
tuw.journal.peerreviewed
true
-
tuw.peerreviewed
true
-
tuw.researchTopic.id
A3
-
tuw.researchTopic.name
Fundamental Mathematics Research
-
tuw.researchTopic.value
100
-
dcterms.isPartOf.title
Advances in Mathematics
-
tuw.publication.orgunit
E104-08 - Forschungsbereich Mengenlehre
-
tuw.publisher.doi
10.1016/j.aim.2025.110272
-
dc.identifier.articleid
110272
-
dc.identifier.eissn
1090-2082
-
dc.description.numberOfPages
26
-
wb.sci
true
-
wb.sciencebranch
Informatik
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1020
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
5
-
wb.sciencebranch.value
95
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item.openairecristype
http://purl.org/coar/resource_type/c_2df8fbb1
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item.grantfulltext
none
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item.cerifentitytype
Publications
-
item.fulltext
no Fulltext
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item.openairetype
research article
-
item.languageiso639-1
en
-
crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
-
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