<div class="csl-bib-body">
<div class="csl-entry">Müller, S. (2022, July 4). <i>Preserving universally Baire Sets and Sealing</i> [Conference Presentation]. Set Theory Workshop, Austria.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/152927
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dc.description
I am invited to give a talk at a Set Theory Workshop at the Erwin Schrödinger Institute that will take place in Vienna, July 4-8, 2022.
Preserving universally Baire sets and Sealing
Universally Baire sets play a central role in many areas of set theory. In inner model theory many objects we construct are universally Baire and this is crucial as it allows us to extend them onto generic extensions. Sealing, a generic absoluteness principle for the theory of the universally Baire sets introduced by Woodin, is therefore an obstruction to construct canonical inner models. In his famous Sealing Theorem, Woodin showed that in the presence of a proper class of Woodin cardinals Sealing holds after collapsing 22κ
for a supercompact cardinal κ. We will outline a new and stationary-tower-free proof of Woodin’s Sealing Theorem that is based on Sargsyan’s and Trang’s proof of Sealing from iterability. A key new technical concept in our proof is the preservation of universally Baire sets in ultrapowers by extenders. This is joint work with Grigor Sargsyan and Bartosz Wcisło.
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dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
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dc.language.iso
en
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dc.subject
Universally Baire Sets
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dc.title
Preserving universally Baire Sets and Sealing
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dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
V 844_N
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dc.type.category
Conference Presentation
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tuw.publication.invited
invited
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tuw.project.title
Lange Spiele und Determiniertheit wenn alle Mengen uB sind
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tuw.researchTopic.id
C4
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tuw.researchTopic.name
Mathematical and Algorithmic Foundations
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-01 - Forschungsbereich Algebra
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tuw.author.orcid
0000-0002-7224-187X
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tuw.event.name
Set Theory Workshop
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tuw.event.startdate
04-07-2022
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tuw.event.enddate
08-07-2022
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tuw.event.online
Hybrid
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tuw.event.type
Event for scientific audience
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tuw.event.country
AT
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tuw.event.institution
Erwin Schrödinger Institut, Universität Wien
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tuw.event.presenter
Müller, Sandra
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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.languageiso639-1
en
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item.openairetype
conference paper not in proceedings
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item.grantfulltext
none
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item.fulltext
no Fulltext
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item.cerifentitytype
Publications
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item.openairecristype
http://purl.org/coar/resource_type/c_18cp
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crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
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crisitem.author.orcid
0000-0002-7224-187X
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crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
