<div class="csl-bib-body">
<div class="csl-entry">Müller, S. (2022, July 6). <i>Preserving universally Baire Sets and Sealing</i> [Conference Presentation]. Set Theory Workshop am Erwin Schrödinger Institut, Wien, Austria.</div>
</div>
-
dc.identifier.uri
http://hdl.handle.net/20.500.12708/136063
-
dc.description.abstract
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.
en
dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)
-
dc.language.iso
en
-
dc.subject
Universally Baire Sets
en
dc.title
Preserving universally Baire Sets and Sealing
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.relation.grantno
V 844_N
-
dc.type.category
Conference Presentation
-
tuw.publication.invited
invited
-
tuw.project.title
Lange Spiele und Determiniertheit wenn alle Mengen uB sind
-
tuw.researchTopic.id
C4
-
tuw.researchTopic.name
Mathematical and Algorithmic Foundations
-
tuw.researchTopic.value
100
-
tuw.linking
https://www.esi.ac.at/events/e429/
-
tuw.linking
https://www.youtube.com/watch?v=bz8TMgxP6oc
-
tuw.publication.orgunit
E104-01 - Forschungsbereich Algebra
-
tuw.author.orcid
0000-0002-7224-187X
-
tuw.event.name
Set Theory Workshop am Erwin Schrödinger Institut
en
tuw.event.startdate
04-07-2022
-
tuw.event.enddate
08-07-2022
-
tuw.event.online
On Site
-
tuw.event.type
Event for scientific audience
-
tuw.event.place
Wien
-
tuw.event.country
AT
-
tuw.event.institution
Erwin Schrödinger International Institute for Mathematics and Physics
-
tuw.event.presenter
Müller, Sandra
-
wb.sciencebranch
Mathematik
-
wb.sciencebranch.oefos
1010
-
wb.sciencebranch.value
100
-
item.languageiso639-1
en
-
item.grantfulltext
none
-
item.cerifentitytype
Publications
-
item.openairetype
conference paper not in proceedings
-
item.openairecristype
http://purl.org/coar/resource_type/c_18cp
-
item.fulltext
no Fulltext
-
crisitem.author.dept
E104-08 - Forschungsbereich Mengenlehre
-
crisitem.author.orcid
0000-0002-7224-187X
-
crisitem.author.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
