<div class="csl-bib-body">
<div class="csl-entry">Lietz, A. T. (2024, September 20). <i>On Mathias Characterizations for Generics for Variants of Namba Forcing</i> [Conference Presentation]. European Set Theory Conference, Münster, Germany.</div>
</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/209406
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dc.description.abstract
Namba forcing is the first instance of a forcing which singularizes ω2 while preserving ω1. Several versions of Namba forcing exist which have shown to not be equivalent under CH by Magidor-Shelah as well as Jensen.
We generalize these theorems by removing the CH assumption and taking into account many more variations of Namba forcing. Further, we show that all “natural” variations of Namba forcing generate extensions which are minimal conditioned on \cof(ωV2)=ω and moreover, we analyze exactly which and how many other sequences in such an extension are generic for a variation of Namba forcing. Further, we show that no Mathias-style characterization for variants of Namba forcing are possible except for Priky-style forcings. This answers a question of Gunter Fuchs.
en
dc.language.iso
en
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dc.subject
Forcing
en
dc.subject
Namba forcing
en
dc.title
On Mathias Characterizations for Generics for Variants of Namba Forcing
en
dc.type
Presentation
en
dc.type
Vortrag
de
dc.type.category
Conference Presentation
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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tuw.publication.orgunit
E104-08 - Forschungsbereich Mengenlehre
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tuw.event.name
European Set Theory Conference
en
tuw.event.startdate
16-09-2024
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tuw.event.enddate
20-09-2024
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tuw.event.online
On Site
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tuw.event.type
Event for scientific audience
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tuw.event.place
Münster
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tuw.event.country
DE
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tuw.event.institution
Universität Münster
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tuw.event.presenter
Lietz, Andreas Theodor
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tuw.event.track
Single Track
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wb.sciencebranch
Informatik
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wb.sciencebranch
Mathematik
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wb.sciencebranch.oefos
1020
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wb.sciencebranch.oefos
1010
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wb.sciencebranch.value
5
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wb.sciencebranch.value
95
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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.parentorg
E104 - Institut für Diskrete Mathematik und Geometrie
