<div class="csl-bib-body">
<div class="csl-entry">Aksornthong, N., Gappo, T., Holland, J., & 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>
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dc.identifier.issn
0219-0613
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/224770
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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 [O. Ben-Neria and Y. Hayut, On ω-strongly measurable cardinals, Forum Math. Sigma 11 (2023) e19].
en
dc.description.sponsorship
FWF - Österr. Wissenschaftsfonds
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dc.language.iso
en
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dc.publisher
WORLD SCIENTIFIC PUBL CO PTE LTD
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dc.relation.ispartof
Journal of Mathematical Logic
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.subject
determinacy
en
dc.subject
HOD conjecture
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dc.subject
Inner model theory
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dc.subject
ω-strongly measurable cardinals
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dc.subject
ℙmax forcing
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dc.title
On ω-strongly measurable cardinals in ℙmax extensions
