<div class="csl-bib-body">
<div class="csl-entry">Schlutzenberg, F. S. (2025). <i>Power ∑₁ in Card with two Woodin cardinals</i>. arXiv. https://doi.org/10.48550/arXiv.2505.05243</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/224762
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dc.description.abstract
Väänänen and Welch asked in the paper "When cardinals determine the power set: inner models and Härtig quantifier logic" which large cardinals are consistent with the power set operation x ↦ P(x) being Σ_1-definable in the predicate Card of all cardinals. We show that, relative to large cardinals, this property is consistent with the existence of two Woodin cardinals.
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.subject
power set
en
dc.subject
definability
en
dc.subject
Härtig quantifier
en
dc.subject
Woodin cardinals
en
dc.subject
inner model
en
dc.title
Power ∑₁ in Card with two Woodin cardinals
en
dc.type
Preprint
en
dc.type
Preprint
de
dc.identifier.arxiv
2505.05243
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dc.relation.grantno
Y1498
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tuw.project.title
Determiniertheit und Woodin Limes von Woodin Kardinalzahlen
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tuw.researchTopic.id
I1
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tuw.researchTopic.name
Logic and Computation
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-08 - Forschungsbereich Mengenlehre
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tuw.publisher.doi
10.48550/arXiv.2505.05243
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dc.description.numberOfPages
6
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tuw.publisher.server
arXiv
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
100
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item.openairetype
preprint
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item.openairecristype
http://purl.org/coar/resource_type/c_816b
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item.cerifentitytype
Publications
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item.languageiso639-1
en
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item.grantfulltext
none
-
item.fulltext
no Fulltext
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crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie